diff --git a/test/parallel/test-http2-client-rststream-before-connect.js b/test/parallel/test-http2-client-rststream-before-connect.js
index b0faaa5de2a398..7909fd97fc313b 100644
--- a/test/parallel/test-http2-client-rststream-before-connect.js
+++ b/test/parallel/test-http2-client-rststream-before-connect.js
@@ -16,18 +16,30 @@ server.on('stream', (stream) => {
 server.listen(0, common.mustCall(() => {
   const client = h2.connect(`http://localhost:${server.address().port}`);
   const req = client.request();
-  req.close(1);
+  const closeCode = 1;
+
+  common.expectsError(
+    () => req.close(2 ** 32),
+    {
+      type: RangeError,
+      code: 'ERR_OUT_OF_RANGE',
+      message: 'The "code" argument is out of range'
+    }
+  );
+  assert.strictEqual(req.closed, false);
+
+  req.close(closeCode, common.mustCall());
   assert.strictEqual(req.closed, true);
 
   // make sure that destroy is called
   req._destroy = common.mustCall(req._destroy.bind(req));
 
-  // second call doesn't do anything
-  assert.doesNotThrow(() => req.close(8));
+  // Second call doesn't do anything.
+  req.close(closeCode + 1);
 
   req.on('close', common.mustCall((code) => {
     assert.strictEqual(req.destroyed, true);
-    assert.strictEqual(code, 1);
+    assert.strictEqual(code, closeCode);
     server.close();
     client.close();
   }));
@@ -35,7 +47,7 @@ server.listen(0, common.mustCall(() => {
   req.on('error', common.expectsError({
     code: 'ERR_HTTP2_STREAM_ERROR',
     type: Error,
-    message: 'Stream closed with error code 1'
+    message: `Stream closed with error code ${closeCode}`
   }));
 
   req.on('response', common.mustCall());