diff --git a/test/parallel/test-async-wrap-pop-id-during-load.js b/test/parallel/test-async-wrap-pop-id-during-load.js
index 4f39a4fdf01b34..4cf1ef472b6037 100644
--- a/test/parallel/test-async-wrap-pop-id-during-load.js
+++ b/test/parallel/test-async-wrap-pop-id-during-load.js
@@ -7,15 +7,17 @@ if (process.argv[2] === 'async') {
     fn();
     throw new Error();
   }
-  (async function() { await fn(); })();
-  // While the above should error, just in case it doesn't the script shouldn't
-  // fork itself indefinitely so return early.
-  return;
+  return (async function() { await fn(); })();
 }
 
 const assert = require('assert');
 const { spawnSync } = require('child_process');
 
-const ret = spawnSync(process.execPath, [__filename, 'async']);
+const ret = spawnSync(
+  process.execPath,
+  ['--stack_size=50', __filename, 'async']
+);
 assert.strictEqual(ret.status, 0);
-assert.ok(!/async.*hook/i.test(ret.stderr.toString('utf8', 0, 1024)));
+const stderr = ret.stderr.toString('utf8', 0, 2048);
+assert.ok(!/async.*hook/i.test(stderr));
+assert.ok(stderr.includes('UnhandledPromiseRejectionWarning: Error'), stderr);
diff --git a/test/parallel/test-child-process-exec-encoding.js b/test/parallel/test-child-process-exec-encoding.js
index 781ee51d96dcb2..d7c059a65ab4d8 100644
--- a/test/parallel/test-child-process-exec-encoding.js
+++ b/test/parallel/test-child-process-exec-encoding.js
@@ -1,17 +1,17 @@
 'use strict';
 const common = require('../common');
-const assert = require('assert');
-const cp = require('child_process');
 const stdoutData = 'foo';
 const stderrData = 'bar';
-const expectedStdout = `${stdoutData}\n`;
-const expectedStderr = `${stderrData}\n`;
 
 if (process.argv[2] === 'child') {
   // The following console calls are part of the test.
   console.log(stdoutData);
   console.error(stderrData);
 } else {
+  const assert = require('assert');
+  const cp = require('child_process');
+  const expectedStdout = `${stdoutData}\n`;
+  const expectedStderr = `${stderrData}\n`;
   function run(options, callback) {
     const cmd = `"${process.execPath}" "${__filename}" child`;