diff --git a/test/parallel/parallel.status b/test/parallel/parallel.status
index d1ec6d91189..a2d1d895ec3 100644
--- a/test/parallel/parallel.status
+++ b/test/parallel/parallel.status
@@ -102,7 +102,6 @@ test-trace-events-process-exit : SKIP
 test-trace-events-v8 : SKIP
 test-trace-events-vm : SKIP
 test-trace-events-worker-metadata : SKIP
-test-trace-event-promises : SKIP
 test-tracing-no-crash : SKIP
 
 # These tests are disabled for chakra engine because they depend
@@ -150,7 +149,6 @@ test-vm-module-link : SKIP
 test-vm-module-reevaluate : SKIP
 
 # This test requires support for bigints
-test-util-inspect-bigint : SKIP
 test-fs-stat-bigint : SKIP
 test-fs-watchfile-bigint : SKIP
 test-process-hrtime-bigint : SKIP
diff --git a/test/parallel/test-assert-deep.js b/test/parallel/test-assert-deep.js
index a7d1c0e37ae..fff67f59262 100644
--- a/test/parallel/test-assert-deep.js
+++ b/test/parallel/test-assert-deep.js
@@ -363,6 +363,9 @@ assertDeepAndStrictEqual(
   new Map([[null, 3]]),
   new Map([[null, 3]])
 );
+
+if (!common.isChakraEngine) {
+  eval(`
 assertOnlyDeepEqual(
   new Map([[undefined, null], ['+000', 2n]]),
   new Map([[null, undefined], [false, '2']]),
@@ -372,6 +375,9 @@ assertOnlyDeepEqual(
   new Set([null, '', 1n, 5, 2n, false]),
   new Set([undefined, 0, 5n, true, '2', '-000'])
 );
+  `);
+}
+
 assertNotDeepOrStrict(
   new Set(['']),
   new Set(['0'])