diff --git a/test/parallel/test-zlib-close-after-error.js b/test/parallel/test-zlib-close-after-error.js
new file mode 100644
index 00000000000000..2570ca266a6754
--- /dev/null
+++ b/test/parallel/test-zlib-close-after-error.js
@@ -0,0 +1,14 @@
+'use strict';
+// https://github.com/nodejs/node/issues/6034
+
+const common = require('../common');
+const assert = require('assert');
+const zlib = require('zlib');
+
+const decompress = zlib.createGunzip(15);
+
+decompress.on('error', common.mustCall((err) => {
+  assert.doesNotThrow(() => decompress.close());
+}));
+
+decompress.write('something invalid');