diff --git a/lib/ast.js b/lib/ast.js
index b82bbbb1..aa49a276 100644
--- a/lib/ast.js
+++ b/lib/ast.js
@@ -1126,6 +1126,10 @@ var AST_Switch = DEFNODE("Switch", "expression", {
     $propdoc: {
         expression: "[AST_Node] the `switch` “discriminant”"
     },
+    _equals: function(node) {
+        return this.expression.equals(node.expression)
+            && all_equals(this.body, node.body);
+    },
     walk: function(visitor) {
         var node = this;
         visitor.visit(node, function() {
@@ -1157,6 +1161,10 @@ var AST_Case = DEFNODE("Case", "expression", {
     $propdoc: {
         expression: "[AST_Node] the `case` expression"
     },
+    _equals: function(node) {
+        return this.expression.equals(node.expression)
+            && all_equals(this.body, node.body);
+    },
     walk: function(visitor) {
         var node = this;
         visitor.visit(node, function() {
diff --git a/test/compress/conditionals.js b/test/compress/conditionals.js
index 0d6a8181..289ad6d8 100644
--- a/test/compress/conditionals.js
+++ b/test/compress/conditionals.js
@@ -2177,3 +2177,69 @@ issue_5334_2: {
     }
     expect_stdout: "PASS"
 }
+
+issue_5544_1: {
+    options = {
+        conditionals: true,
+    }
+    input: {
+        var a;
+        if (a)
+            switch (42) {
+              case console.log("FAIL"):
+              case console:
+            }
+        else
+            switch (false) {
+              case console.log("PASS"):
+              case console:
+            }
+    }
+    expect: {
+        var a;
+        if (a)
+            switch (42) {
+              case console.log("FAIL"):
+              case console:
+            }
+        else
+            switch (false) {
+              case console.log("PASS"):
+              case console:
+            }
+    }
+    expect_stdout: "PASS"
+}
+
+issue_5544_2: {
+    options = {
+        conditionals: true,
+    }
+    input: {
+        var a;
+        if (a)
+            switch (42) {
+              case console.log("FAIL"):
+              case console:
+            }
+        else
+            switch (42) {
+              case console.log("PASS"):
+              case console:
+            }
+    }
+    expect: {
+        var a;
+        if (a)
+            switch (42) {
+              case console.log("FAIL"):
+              case console:
+            }
+        else
+            switch (42) {
+              case console.log("PASS"):
+              case console:
+            }
+    }
+    expect_stdout: "PASS"
+}
diff --git a/test/compress/switches.js b/test/compress/switches.js
index 3c43612e..0502db78 100644
--- a/test/compress/switches.js
+++ b/test/compress/switches.js
@@ -1608,3 +1608,83 @@ issue_5012: {
     }
     expect_stdout: "PASS"
 }
+
+issue_5543_1: {
+    options = {
+        dead_code: true,
+        switches: true,
+    }
+    input: {
+        var a;
+        switch (a) {
+          default:
+            switch (42) {
+              case a:
+              case console.log("PASS"):
+            }
+            break;
+          case null:
+            switch (false) {
+              case a:
+              case console.log("FAIL"):
+            }
+        }
+    }
+    expect: {
+        var a;
+        switch (a) {
+          default:
+            switch (42) {
+              case a:
+              case console.log("PASS"):
+            }
+            break;
+          case null:
+            switch (false) {
+              case a:
+              case console.log("FAIL"):
+            }
+        }
+    }
+    expect_stdout: "PASS"
+}
+
+issue_5543_2: {
+    options = {
+        dead_code: true,
+        switches: true,
+    }
+    input: {
+        var a;
+        switch (a) {
+          default:
+            switch (42) {
+              case a:
+              case console.log("PASS"):
+            }
+            break;
+          case null:
+            switch (42) {
+              case a:
+              case console.log("FAIL"):
+            }
+        }
+    }
+    expect: {
+        var a;
+        switch (a) {
+          default:
+            switch (42) {
+              case a:
+              case console.log("PASS"):
+            }
+            break;
+          case null:
+            switch (42) {
+              case a:
+              case console.log("FAIL"):
+            }
+        }
+    }
+    expect_stdout: "PASS"
+}