diff --git a/lib/compress.js b/lib/compress.js
index cd74389b..688c0c74 100644
--- a/lib/compress.js
+++ b/lib/compress.js
@@ -4807,8 +4807,12 @@ merge(Compressor.prototype, {
             // XXX: intentionally falling down to the next case
           case "==":
           case "!=":
+            // void 0 == x => null == x
+            if (!is_strict_comparison && is_undefined(self.left, compressor)) {
+                self.left = make_node(AST_Null, self.left);
+            }
             // "undefined" == typeof x => undefined === x
-            if (compressor.option("typeofs")
+            else if (compressor.option("typeofs")
                 && self.left instanceof AST_String
                 && self.left.value == "undefined"
                 && self.right instanceof AST_UnaryPrefix
@@ -4828,10 +4832,6 @@ merge(Compressor.prototype, {
                 && is_object(self.left.fixed_value())) {
                 return make_node(self.operator[0] == "=" ? AST_True : AST_False, self);
             }
-            // void 0 == x => null == x
-            else if (!is_strict_comparison && is_undefined(self.left, compressor)) {
-                self.left = make_node(AST_Null, self.left);
-            }
             break;
           case "&&":
           case "||":