diff --git a/openmp/runtime/test/tasking/hidden_helper_task/capacity_mix_threads.cpp b/openmp/runtime/test/tasking/hidden_helper_task/capacity_mix_threads.cpp
index 3f2ceef0c4add..36825dbebafb5 100644
--- a/openmp/runtime/test/tasking/hidden_helper_task/capacity_mix_threads.cpp
+++ b/openmp/runtime/test/tasking/hidden_helper_task/capacity_mix_threads.cpp
@@ -1,7 +1,4 @@
 // RUN: %libomp-cxx-compile-and-run
-//
-// AIX runs out of resource in 32-bit with 4*omp_get_max_threads() threads.
-// XFAIL: aix && ppc
 
 #include <omp.h>
 
@@ -11,6 +8,12 @@
 #include <thread>
 #include <vector>
 
+// AIX runs out of resource in 32-bit if 4*omp_get_max_threads() is more
+// than 64 threads with the default stack size.
+#if defined(_AIX) && !__LP64__
+#define MAX_THREADS 64
+#endif
+
 void dummy_root() {
   // omp_get_max_threads() will do middle initialization
   int nthreads = omp_get_max_threads();
@@ -18,9 +21,14 @@ void dummy_root() {
 }
 
 int main(int argc, char *argv[]) {
-  const int N = std::min(std::max(std::max(32, 4 * omp_get_max_threads()),
-                                  4 * omp_get_num_procs()),
-                         std::numeric_limits<int>::max());
+  int N = std::min(std::max(std::max(32, 4 * omp_get_max_threads()),
+                            4 * omp_get_num_procs()),
+                   std::numeric_limits<int>::max());
+
+#if defined(_AIX) && !__LP64__
+  if (N > MAX_THREADS)
+    N = MAX_THREADS;
+#endif
 
   std::vector<int> data(N);
 
diff --git a/openmp/runtime/test/tasking/hidden_helper_task/capacity_nthreads.cpp b/openmp/runtime/test/tasking/hidden_helper_task/capacity_nthreads.cpp
index f7405d00255cb..1cceee95e704b 100644
--- a/openmp/runtime/test/tasking/hidden_helper_task/capacity_nthreads.cpp
+++ b/openmp/runtime/test/tasking/hidden_helper_task/capacity_nthreads.cpp
@@ -1,7 +1,4 @@
 // RUN: %libomp-cxx-compile-and-run
-//
-// AIX runs out of resource in 32-bit with 4*omp_get_max_threads() threads.
-// XFAIL: aix && ppc
 
 #include <omp.h>
 
@@ -10,10 +7,21 @@
 #include <limits>
 #include <vector>
 
+// AIX runs out of resource in 32-bit if 4*omp_get_max_threads() is more
+// than 64 threads with the default stacksize.
+#if defined(_AIX) && !__LP64__
+#define MAX_THREADS 64
+#endif
+
 int main(int argc, char *argv[]) {
-  const int N = std::min(std::max(std::max(32, 4 * omp_get_max_threads()),
-                                  4 * omp_get_num_procs()),
-                         std::numeric_limits<int>::max());
+  int N = std::min(std::max(std::max(32, 4 * omp_get_max_threads()),
+                            4 * omp_get_num_procs()),
+                   std::numeric_limits<int>::max());
+
+#if defined(_AIX) && !__LP64__
+  if (N > MAX_THREADS)
+    N = MAX_THREADS;
+#endif
 
   std::vector<int> data(N);