diff --git a/openmp/runtime/test/parallel/bug54082.c b/openmp/runtime/test/parallel/bug54082.c
index 103babba291ed..3399d1d8f1dc8 100644
--- a/openmp/runtime/test/parallel/bug54082.c
+++ b/openmp/runtime/test/parallel/bug54082.c
@@ -1,6 +1,10 @@
 // This test is adapted from test_parallel_for_allocate.c in SOLLVE V&V.
 // https://github.com/SOLLVE/sollve_vv/blob/master/tests/5.0/parallel_for/test_parallel_for_allocate.c
 // RUN: %libomp-compile-and-run
+
+// Support for allocate was added in GCC 11
+// UNSUPPORTED: gcc-4, gcc-5, gcc-6, gcc-7, gcc-8, gcc-9, gcc-10
+
 #include <omp.h>
 
 #include <assert.h>
diff --git a/openmp/runtime/test/parallel/omp_parallel_if.c b/openmp/runtime/test/parallel/omp_parallel_if.c
index 7a924020f3349..2e281178b566e 100644
--- a/openmp/runtime/test/parallel/omp_parallel_if.c
+++ b/openmp/runtime/test/parallel/omp_parallel_if.c
@@ -1,5 +1,9 @@
 // RUN: %libomp-compile-and-run
 // RUN: %libomp-irbuilder-compile-and-run
+
+// irbuilder is only available with clang
+// REQUIRES: clang
+
 #include <stdio.h>
 #include "omp_testsuite.h"
 
diff --git a/openmp/runtime/test/tasking/hidden_helper_task/single_helper_thread.c b/openmp/runtime/test/tasking/hidden_helper_task/single_helper_thread.c
index a1aeda76e22fa..377f394f2f5cd 100644
--- a/openmp/runtime/test/tasking/hidden_helper_task/single_helper_thread.c
+++ b/openmp/runtime/test/tasking/hidden_helper_task/single_helper_thread.c
@@ -1,5 +1,8 @@
 // RUN: %libomp-compile && env LIBOMP_NUM_HIDDEN_HELPER_THREADS=1 %libomp-run
 
+// gcc/icc target offloading is incompatible with libomp
+// UNSUPPORTED: icc, gcc
+
 // The test checks that "devide-by-0" bug fixed in runtime.
 // The fix is to increment number of threads by 1 if positive,
 // so that operation
diff --git a/openmp/runtime/test/teams/teams-distr-on-host.c b/openmp/runtime/test/teams/teams-distr-on-host.c
index 663d1d3a487fe..7b77d05fa978f 100644
--- a/openmp/runtime/test/teams/teams-distr-on-host.c
+++ b/openmp/runtime/test/teams/teams-distr-on-host.c
@@ -2,7 +2,9 @@
 // It checks that the bug in implementation of distribute construct is fixed.
 
 // RUN: %libomp-compile-and-run
-// UNSUPPORTED: icc
+
+// gcc/icc target offloading is incompatible with libomp
+// UNSUPPORTED: icc, gcc
 
 #include <stdio.h>
 #include <omp.h>
diff --git a/openmp/runtime/test/teams/teams_resize.c b/openmp/runtime/test/teams/teams_resize.c
index 5859969d762da..70e9afe1f704d 100644
--- a/openmp/runtime/test/teams/teams_resize.c
+++ b/openmp/runtime/test/teams/teams_resize.c
@@ -1,5 +1,7 @@
 // RUN: %libomp-compile && env OMP_DYNAMIC=true KMP_DYNAMIC_MODE=random %libomp-run
-// UNSUPPORTED: icc
+
+// gcc/icc target offloading is incompatible with libomp
+// UNSUPPORTED: icc, gcc
 
 // This is a super simple unit test to see that teams behave properly when
 // parallel regions inside the teams construct cannot allocate teams of
diff --git a/openmp/runtime/test/worksharing/for/omp_for_collapse_non_rectangular.c b/openmp/runtime/test/worksharing/for/omp_for_collapse_non_rectangular.c
index 770e4b8218792..de41fdab1e3bb 100644
--- a/openmp/runtime/test/worksharing/for/omp_for_collapse_non_rectangular.c
+++ b/openmp/runtime/test/worksharing/for/omp_for_collapse_non_rectangular.c
@@ -1,5 +1,8 @@
 // RUN: %libomp-compile-and-run
 
+// Support for collapse of non-rectangular loop nests was added in GCC 11
+// UNSUPPORTED: gcc-4, gcc-5, gcc-6, gcc-7, gcc-8, gcc-9, gcc-10
+
 #include <stdio.h>
 
 #define N 3
diff --git a/openmp/runtime/test/worksharing/for/omp_for_non_rectangular.c b/openmp/runtime/test/worksharing/for/omp_for_non_rectangular.c
index 0b9451ac11696..c7a583099008f 100644
--- a/openmp/runtime/test/worksharing/for/omp_for_non_rectangular.c
+++ b/openmp/runtime/test/worksharing/for/omp_for_non_rectangular.c
@@ -1,5 +1,8 @@
 // RUN: %libomp-compile-and-run
 
+// Support for collapse of non-rectangular loop nests was added in GCC 11
+// UNSUPPORTED: gcc-4, gcc-5, gcc-6, gcc-7, gcc-8, gcc-9, gcc-10
+
 #define N 10
 int arr[N][N][N];