diff --git a/lib/compress.js b/lib/compress.js
index 86ea2806..41e5d4cd 100644
--- a/lib/compress.js
+++ b/lib/compress.js
@@ -3914,7 +3914,7 @@ Compressor.prototype.compress = function(node) {
                 var node = stat.body;
                 if (!(node instanceof AST_Await)) break;
                 var exp = node.expression;
-                if (!is_primitive(compressor, exp)) break;
+                if (!needs_enqueuing(compressor, exp)) break;
                 changed = true;
                 exp = exp.drop_side_effect_free(compressor, true);
                 if (exp) {
@@ -8569,7 +8569,7 @@ Compressor.prototype.compress = function(node) {
         if (arrow && compressor.option("arrows")) {
             if (!exp.value) {
                 drop_body = true;
-            } else if (!async || is_primitive(compressor, exp.value)) {
+            } else if (!async || needs_enqueuing(compressor, exp.value)) {
                 var dropped = exp.value.drop_side_effect_free(compressor);
                 if (dropped !== exp.value) {
                     changed = true;
@@ -8588,7 +8588,7 @@ Compressor.prototype.compress = function(node) {
             exp.process_expression(false, function(node) {
                 var value = node.value;
                 if (value) {
-                    if (async && !is_primitive(compressor, value)) return node;
+                    if (async && !needs_enqueuing(compressor, value)) return node;
                     value = value.drop_side_effect_free(compressor, true);
                 }
                 changed = true;
@@ -8598,11 +8598,11 @@ Compressor.prototype.compress = function(node) {
             scan_local_returns(exp, function(node) {
                 var value = node.value;
                 if (value) {
-                    if (async && !is_primitive(compressor, value)) return;
+                    if (async && !needs_enqueuing(compressor, value)) return;
                     var dropped = value.drop_side_effect_free(compressor);
                     if (dropped !== value) {
                         changed = true;
-                        if (dropped && async && !is_primitive(compressor, dropped)) {
+                        if (dropped && async && !needs_enqueuing(compressor, dropped)) {
                             dropped = dropped.negate(compressor);
                         }
                         node.value = dropped;
@@ -8614,7 +8614,7 @@ Compressor.prototype.compress = function(node) {
             if (drop_body) exp.process_expression("awaits", function(node) {
                 var body = node.body;
                 if (body instanceof AST_Await) {
-                    if (is_primitive(compressor, body.expression)) {
+                    if (needs_enqueuing(compressor, body.expression)) {
                         changed = true;
                         body = body.expression.drop_side_effect_free(compressor, true);
                         if (!body) return make_node(AST_EmptyStatement, node);
@@ -8626,7 +8626,7 @@ Compressor.prototype.compress = function(node) {
                         var tail = exprs[i];
                         if (!(tail instanceof AST_Await)) break;
                         var value = tail.expression;
-                        if (!is_primitive(compressor, value)) break;
+                        if (!needs_enqueuing(compressor, value)) break;
                         changed = true;
                         if (exprs[i] = value.drop_side_effect_free(compressor)) break;
                     }
@@ -8643,14 +8643,14 @@ Compressor.prototype.compress = function(node) {
                 }
                 return node;
             });
-            var abort = !drop_body && exp.name || arrow && exp.value && !is_primitive(compressor, exp.value);
+            var abort = !drop_body && exp.name || arrow && exp.value && !needs_enqueuing(compressor, exp.value);
             var tw = new TreeWalker(function(node) {
                 if (abort) return true;
                 if (tw.parent() === exp && node.may_throw(compressor)) return abort = true;
                 if (node instanceof AST_Await) return abort = true;
                 if (node instanceof AST_ForAwaitOf) return abort = true;
                 if (node instanceof AST_Return) {
-                    if (node.value && !is_primitive(compressor, node.value)) return abort = true;
+                    if (node.value && !needs_enqueuing(compressor, node.value)) return abort = true;
                     return;
                 }
                 if (node instanceof AST_Scope && node !== exp) return true;
@@ -8735,13 +8735,13 @@ Compressor.prototype.compress = function(node) {
         def(AST_Await, function(compressor) {
             if (!compressor.option("awaits")) return this;
             var exp = this.expression;
-            if (!is_primitive(compressor, exp)) return this;
+            if (!needs_enqueuing(compressor, exp)) return this;
             if (exp instanceof AST_UnaryPrefix && exp.operator == "!") exp = exp.expression;
             var dropped = exp.drop_side_effect_free(compressor);
             if (dropped === exp) return this;
             if (!dropped) {
                 dropped = make_node(AST_Number, exp, { value: 0 });
-            } else if (!is_primitive(compressor, dropped)) {
+            } else if (!needs_enqueuing(compressor, dropped)) {
                 dropped = dropped.negate(compressor);
             }
             var node = this.clone();
@@ -8998,7 +8998,7 @@ Compressor.prototype.compress = function(node) {
                 expressions = expressions.slice(0, -1);
                 end--;
                 var expr = expressions[end];
-                last.expression = is_primitive(compressor, expr) ? expr : expr.negate(compressor);
+                last.expression = needs_enqueuing(compressor, expr) ? expr : expr.negate(compressor);
                 expressions[end] = last;
             }
             var assign, cond, lhs;
@@ -11489,20 +11489,21 @@ Compressor.prototype.compress = function(node) {
         }
     }
 
-    function is_primitive(compressor, node) {
+    function needs_enqueuing(compressor, node) {
         if (node.is_constant()) return true;
-        if (node instanceof AST_Assign) return node.operator != "=" || is_primitive(compressor, node.right);
+        if (node instanceof AST_Assign) return node.operator != "=" || needs_enqueuing(compressor, node.right);
         if (node instanceof AST_Binary) {
             return !lazy_op[node.operator]
-                || is_primitive(compressor, node.left) && is_primitive(compressor, node.right);
+                || needs_enqueuing(compressor, node.left) && needs_enqueuing(compressor, node.right);
         }
+        if (node instanceof AST_Call) return is_async(node.expression);
         if (node instanceof AST_Conditional) {
-            return is_primitive(compressor, node.consequent) && is_primitive(compressor, node.alternative);
+            return needs_enqueuing(compressor, node.consequent) && needs_enqueuing(compressor, node.alternative);
         }
-        if (node instanceof AST_Sequence) return is_primitive(compressor, node.tail_node());
+        if (node instanceof AST_Sequence) return needs_enqueuing(compressor, node.tail_node());
         if (node instanceof AST_SymbolRef) {
             var fixed = node.fixed_value();
-            return fixed && is_primitive(compressor, fixed);
+            return fixed && needs_enqueuing(compressor, fixed);
         }
         if (node instanceof AST_Template) return !node.tag || is_raw_tag(compressor, node.tag);
         if (node instanceof AST_Unary) return true;
@@ -13630,6 +13631,7 @@ Compressor.prototype.compress = function(node) {
         def(AST_Node, noop);
         def(AST_Assign, noop);
         def(AST_Await, function(compressor, scope, no_return, in_loop) {
+            if (!compressor.option("awaits")) return;
             var self = this;
             var inlined = self.expression.try_inline(compressor, scope, no_return, in_loop, true);
             if (!inlined) return;
diff --git a/test/compress/awaits.js b/test/compress/awaits.js
index 3dc3472e..4f451631 100644
--- a/test/compress/awaits.js
+++ b/test/compress/awaits.js
@@ -529,6 +529,7 @@ inline_block_await: {
 
 inline_block_await_async: {
     options = {
+        awaits: true,
         inline: true,
     }
     input: {
@@ -2747,6 +2748,7 @@ issue_5177: {
 
 issue_5250: {
     options = {
+        awaits: true,
         inline: true,
     }
     input: {
@@ -2855,6 +2857,7 @@ issue_5298: {
 
 issue_5305_1: {
     options = {
+        awaits: true,
         inline: true,
     }
     input: {
@@ -2888,6 +2891,7 @@ issue_5305_1: {
 
 issue_5305_2: {
     options = {
+        awaits: true,
         inline: true,
     }
     input: {
@@ -3231,6 +3235,57 @@ issue_5528_4: {
 }
 
 issue_5634_1: {
+    options = {
+        awaits: true,
+        inline: true,
+    }
+    input: {
+        var a = "foo";
+        (async function() {
+            (async function() {
+                try {
+                    return {
+                        then(resolve) {
+                            console.log("bar");
+                            resolve();
+                            console.log("baz");
+                        },
+                    };
+                } finally {
+                    a = "moo";
+                }
+            })();
+        })();
+        console.log(a);
+    }
+    expect: {
+        var a = "foo";
+        (async function() {
+            (async function() {
+                try {
+                    return {
+                        then(resolve) {
+                            console.log("bar");
+                            resolve();
+                            console.log("baz");
+                        },
+                    };
+                } finally {
+                    a = "moo";
+                }
+            })();
+        })();
+        console.log(a);
+    }
+    expect_stdout: [
+        "moo",
+        "bar",
+        "baz",
+    ]
+    node_version: ">=8"
+}
+
+issue_5634_1_side_effects: {
     options = {
         awaits: true,
         inline: true,
@@ -3282,6 +3337,7 @@ issue_5634_1: {
 
 issue_5634_2: {
     options = {
+        awaits: true,
         inline: true,
     }
     input: {
@@ -3330,6 +3386,56 @@ issue_5634_2: {
     node_version: ">=8"
 }
 
+issue_5634_2_side_effects: {
+    options = {
+        awaits: true,
+        inline: true,
+        side_effects: true,
+    }
+    input: {
+        var a = "foo";
+        (async function() {
+            await async function() {
+                try {
+                    return {
+                        then(resolve) {
+                            console.log("bar");
+                            resolve();
+                            console.log("baz");
+                        },
+                    };
+                } finally {
+                    a = "moo";
+                }
+            }();
+        })();
+        console.log(a);
+    }
+    expect: {
+        var a = "foo";
+        (async function() {
+            try {
+                return {
+                    then(resolve) {
+                        console.log("bar");
+                        resolve();
+                        console.log("baz");
+                    },
+                };
+            } finally {
+                a = "moo";
+            }
+        })();
+        console.log(a);
+    }
+    expect_stdout: [
+        "moo",
+        "bar",
+        "baz",
+    ]
+    node_version: ">=8"
+}
+
 issue_5634_3: {
     options = {
         awaits: true,
@@ -3380,3 +3486,53 @@ issue_5634_3: {
     ]
     node_version: ">=8"
 }
+
+issue_5634_3_side_effects: {
+    options = {
+        awaits: true,
+        inline: true,
+        side_effects: true,
+    }
+    input: {
+        var a = "foo";
+        (async function() {
+            return async function() {
+                try {
+                    return {
+                        then(resolve) {
+                            console.log("bar");
+                            resolve();
+                            console.log("baz");
+                        },
+                    };
+                } finally {
+                    a = "moo";
+                }
+            }();
+        })();
+        console.log(a);
+    }
+    expect: {
+        var a = "foo";
+        (async function() {
+            try {
+                return {
+                    then(resolve) {
+                        console.log("bar");
+                        resolve();
+                        console.log("baz");
+                    },
+                };
+            } finally {
+                a = "moo";
+            }
+        })();
+        console.log(a);
+    }
+    expect_stdout: [
+        "moo",
+        "bar",
+        "baz",
+    ]
+    node_version: ">=8"
+}