diff --git a/packages/babel-core/test/fixtures/transformation/misc/regression-7064/exec.js b/packages/babel-core/test/fixtures/transformation/misc/regression-7064/exec.js
new file mode 100644
index 0000000000..9b94389c6b
--- /dev/null
+++ b/packages/babel-core/test/fixtures/transformation/misc/regression-7064/exec.js
@@ -0,0 +1,23 @@
+class Bar {
+  test() {
+    // pass
+    (() => {
+      assert.strictEqual(this.constructor, Bar);
+    })();
+
+    // pass
+    (() => {
+      assert.strictEqual(this.constructor, Bar);
+    }).call(this);
+
+    (async () => {
+      assert.strictEqual(this.constructor, Bar);
+    })();
+
+    (async () => {
+      assert.strictEqual(this.constructor, Bar);
+    }).call(this);
+  }
+}
+
+(new Bar()).test();
diff --git a/packages/babel-core/test/fixtures/transformation/misc/regression-7064/options.json b/packages/babel-core/test/fixtures/transformation/misc/regression-7064/options.json
new file mode 100644
index 0000000000..5df260afd8
--- /dev/null
+++ b/packages/babel-core/test/fixtures/transformation/misc/regression-7064/options.json
@@ -0,0 +1,4 @@
+{
+  "plugins": ["transform-async-to-generator"],
+  "presets": ["es2015"]
+}