diff --git a/lib/output.js b/lib/output.js
index cd6a12045..05d3e620b 100644
--- a/lib/output.js
+++ b/lib/output.js
@@ -1098,7 +1098,8 @@ function OutputStream(options) {
         var p = output.parent();
         if (this.args.length === 0
             && (p instanceof AST_PropAccess // (new Date).getTime(), (new Date)["getTime"]()
-                || p instanceof AST_Call && p.expression === this)) // (new foo)(bar)
+                || p instanceof AST_Call && p.expression === this
+                || p instanceof AST_PrefixedTemplateString && p.prefix === this)) // (new foo)(bar)
             return true;
     });
 
diff --git a/test/compress/template-string.js b/test/compress/template-string.js
index a43e1668e..61e9079c1 100644
--- a/test/compress/template-string.js
+++ b/test/compress/template-string.js
@@ -940,3 +940,10 @@ special_chars_in_string: {
         var template=`foo \`;\n\`\${any} ${any} bar`;
     }
 }
+
+template_string_new_parens: {
+    input: {
+        new Thing()``
+    }
+    expect_exact: "(new Thing)``;"
+}