diff --git a/test/cctest/heap/test-heap.cc b/test/cctest/heap/test-heap.cc
index 3efe91dafd..d9006f927e 100644
--- a/test/cctest/heap/test-heap.cc
+++ b/test/cctest/heap/test-heap.cc
@@ -5547,7 +5547,7 @@ HEAP_TEST(Regress587004) {
 }
 
 HEAP_TEST(Regress589413) {
-  if (!FLAG_incremental_marking) return;
+  if (!FLAG_incremental_marking || FLAG_stress_concurrent_allocation) return;
   FLAG_stress_compaction = true;
   FLAG_manual_evacuation_candidates_selection = true;
   FLAG_parallel_compaction = false;
@@ -6670,7 +6670,8 @@ UNINITIALIZED_TEST(OutOfMemory) {
 
 UNINITIALIZED_TEST(OutOfMemoryIneffectiveGC) {
   if (!FLAG_detect_ineffective_gcs_near_heap_limit) return;
-  if (FLAG_stress_incremental_marking) return;
+  if (FLAG_stress_incremental_marking || FLAG_stress_concurrent_allocation)
+    return;
 #ifdef VERIFY_HEAP
   if (FLAG_verify_heap) return;
 #endif
diff --git a/test/cctest/test-compiler.cc b/test/cctest/test-compiler.cc
index eeb0c5251f..a2c73fb301 100644
--- a/test/cctest/test-compiler.cc
+++ b/test/cctest/test-compiler.cc
@@ -972,7 +972,8 @@ TEST(DecideToPretenureDuringCompilation) {
   // compilation.
   if (!i::FLAG_opt || i::FLAG_always_opt || i::FLAG_minor_mc ||
       i::FLAG_stress_incremental_marking || i::FLAG_optimize_for_size ||
-      i::FLAG_turbo_nci || i::FLAG_turbo_nci_as_midtier) {
+      i::FLAG_turbo_nci || i::FLAG_turbo_nci_as_midtier ||
+      i::FLAG_stress_concurrent_allocation) {
     return;
   }
 
diff --git a/test/cctest/test-heap-profiler.cc b/test/cctest/test-heap-profiler.cc
index 51cfb3c0e9..27c4e54f02 100644
--- a/test/cctest/test-heap-profiler.cc
+++ b/test/cctest/test-heap-profiler.cc
@@ -3893,7 +3893,8 @@ TEST(SamplingHeapProfilerPretenuredInlineAllocations) {
   CcTest::InitializeVM();
   if (!CcTest::i_isolate()->use_optimizer() || i::FLAG_always_opt) return;
   if (i::FLAG_gc_global || i::FLAG_stress_compaction ||
-      i::FLAG_stress_incremental_marking) {
+      i::FLAG_stress_incremental_marking ||
+      i::FLAG_stress_concurrent_allocation) {
     return;
   }