diff --git a/test/parallel/test-http2-server-too-large-headers.js b/test/parallel/test-http2-server-too-large-headers.js
new file mode 100644
index 00000000000000..2e0f702a2439e5
--- /dev/null
+++ b/test/parallel/test-http2-server-too-large-headers.js
@@ -0,0 +1,51 @@
+'use strict';
+
+const common = require('../common');
+if (!common.hasCrypto)
+  common.skip('missing crypto');
+const http2 = require('http2');
+const assert = require('assert');
+const {
+  DEFAULT_SETTINGS_MAX_HEADER_LIST_SIZE,
+  // NGHTTP2_SETTINGS_MAX_HEADER_LIST_SIZE
+} = http2.constants;
+
+for (const headerSize of [
+  DEFAULT_SETTINGS_MAX_HEADER_LIST_SIZE - 101, // pass
+  DEFAULT_SETTINGS_MAX_HEADER_LIST_SIZE - 100, // fail
+]) {
+  const timeout = common.platformTimeout(50);
+  const timer = setTimeout(() => assert.fail(`http2 client timedout when receiving a header of size ${headerSize}`), timeout);
+
+  const server = http2.createServer((req, res) => {
+    res.setHeader('foobar', 'a'.repeat(headerSize));
+    res.end(common.mustCall());
+  });
+  server.on('error', common.mustNotCall());
+
+  server.listen(0, common.mustCall(() => {
+    const client = http2.connect(`http://localhost:${server.address().port}`);
+
+    client.on('remoteSettings', () => {
+      const req = client.request({ ':path': '/' });
+      // TODO, I don't yet know which error to expect
+      // req.on('error',
+      //   (error) => common.expectsError({
+      //   code: 'ERR_HTTP2_STREAM_ERROR',
+      //   name: 'Error',
+      //   message:
+      //   'Stream closed with error code NGHTTP2_SETTINGS_MAX_HEADER_LIST_SIZE'
+      // }));
+      req.on('close', common.mustCall(() => {
+        clearTimeout(timer);
+        // TODO, I don't yet know which error code to expect
+        // assert.strictEqual(
+        //   req.rstCode,
+        //   NGHTTP2_SETTINGS_MAX_HEADER_LIST_SIZE
+        // );
+        server.close();
+        client.close();
+      }));
+    });
+  }));
+}