diff --git a/test/parallel/test-http2-cookies.js b/test/parallel/test-http2-cookies.js
index 3e20a5749dd638..b2f0a3bf6c25cc 100644
--- a/test/parallel/test-http2-cookies.js
+++ b/test/parallel/test-http2-cookies.js
@@ -11,7 +11,8 @@ const server = h2.createServer();
 
 const setCookie = [
   'a=b',
-  'c=d; Wed, 21 Oct 2015 07:28:00 GMT; Secure; HttpOnly'
+  'c=d; Wed, 21 Oct 2015 07:28:00 GMT; Secure; HttpOnly',
+  'e=f'
 ];
 
 // we use the lower-level API here
diff --git a/test/parallel/test-http2-util-headers-list.js b/test/parallel/test-http2-util-headers-list.js
index 8d665120c14776..7e6bb7ece205bc 100644
--- a/test/parallel/test-http2-util-headers-list.js
+++ b/test/parallel/test-http2-util-headers-list.js
@@ -261,4 +261,10 @@ const regex =
   })(mapToHeaders({ [name]: 'abc' }));
 });
 
+common.expectsError({
+  code: 'ERR_HTTP2_INVALID_CONNECTION_HEADERS',
+  message: regex
+})(mapToHeaders({ [HTTP2_HEADER_TE]: ['abc'] }));
+
 assert(!(mapToHeaders({ te: 'trailers' }) instanceof Error));
+assert(!(mapToHeaders({ te: ['trailers'] }) instanceof Error));