diff --git a/openmp/libomptarget/test/lit.cfg b/openmp/libomptarget/test/lit.cfg
--- a/openmp/libomptarget/test/lit.cfg
+++ b/openmp/libomptarget/test/lit.cfg
@@ -59,6 +59,21 @@
 
 config.available_features.add(config.libomptarget_current_target)
 
+# Determine whether the test system supports unified memory.
+# For CUDA, this is the case with compute capability 70 (Volta) or higher.
+# For all other targets, we currently assume it is.
+supports_unified_shared_memory = True
+if config.libomptarget_current_target.startswith('nvptx'):
+  try:
+    cuda_arch = int(config.cuda_test_arch)
+    if cuda_arch < 70:
+      supports_unified_shared_memory = False
+  except ValueError:
+    # If the architecture is invalid, assume it is supported.
+    supports_unified_shared_memory = True
+if supports_unified_shared_memory:
+   config.available_features.add('unified_shared_memory')
+
 # Setup environment to find dynamic library at runtime
 if config.operating_system == 'Windows':
     append_dynamic_library_path('PATH', config.library_dir, ";")
diff --git a/openmp/libomptarget/test/lit.site.cfg.in b/openmp/libomptarget/test/lit.site.cfg.in
--- a/openmp/libomptarget/test/lit.site.cfg.in
+++ b/openmp/libomptarget/test/lit.site.cfg.in
@@ -7,6 +7,7 @@
 config.test_extra_flags = "@OPENMP_TEST_FLAGS@"
 config.cuda_path = "@CUDA_TOOLKIT_ROOT_DIR@"
 config.cuda_libdir = "@CUDA_LIBDIR@"
+config.cuda_test_arch = "@LIBOMPTARGET_DEP_CUDA_ARCH@"
 config.libomptarget_obj_root = "@CMAKE_CURRENT_BINARY_DIR@/@CURRENT_TARGET@"
 config.library_dir = "@LIBOMPTARGET_LIBRARY_DIR@"
 config.omp_header_directory = "@LIBOMPTARGET_OPENMP_HEADER_FOLDER@"
diff --git a/openmp/libomptarget/test/mapping/present/unified_shared_memory.c b/openmp/libomptarget/test/mapping/present/unified_shared_memory.c
--- a/openmp/libomptarget/test/mapping/present/unified_shared_memory.c
+++ b/openmp/libomptarget/test/mapping/present/unified_shared_memory.c
@@ -2,6 +2,8 @@
 // RUN: %libomptarget-run-generic 2>&1 \
 // RUN: | %fcheck-generic
 
+// REQUIRES: unified_shared_memory
+
 
 #include <stdio.h>
 
diff --git a/openmp/libomptarget/test/unified_shared_memory/close_enter_exit.c b/openmp/libomptarget/test/unified_shared_memory/close_enter_exit.c
--- a/openmp/libomptarget/test/unified_shared_memory/close_enter_exit.c
+++ b/openmp/libomptarget/test/unified_shared_memory/close_enter_exit.c
@@ -1,5 +1,6 @@
 // RUN: %libomptarget-compile-run-and-check-generic
 
+// REQUIRES: unified_shared_memory
 // UNSUPPORTED: clang-6, clang-7, clang-8, clang-9
 // XFAIL: nvptx64-nvidia-cuda
 
diff --git a/openmp/libomptarget/test/unified_shared_memory/close_manual.c b/openmp/libomptarget/test/unified_shared_memory/close_manual.c
--- a/openmp/libomptarget/test/unified_shared_memory/close_manual.c
+++ b/openmp/libomptarget/test/unified_shared_memory/close_manual.c
@@ -1,5 +1,7 @@
 // RUN: %libomptarget-compile-run-and-check-generic
 
+// REQUIRES: unified_shared_memory
+
 #include <omp.h>
 #include <stdio.h>
 
diff --git a/openmp/libomptarget/test/unified_shared_memory/close_modifier.c b/openmp/libomptarget/test/unified_shared_memory/close_modifier.c
--- a/openmp/libomptarget/test/unified_shared_memory/close_modifier.c
+++ b/openmp/libomptarget/test/unified_shared_memory/close_modifier.c
@@ -1,6 +1,7 @@
 // RUN: %libomptarget-compile-run-and-check-generic
 // XFAIL: nvptx64-nvidia-cuda
 
+// REQUIRES: unified_shared_memory
 // UNSUPPORTED: clang-6, clang-7, clang-8, clang-9
 
 #include <omp.h>
diff --git a/openmp/libomptarget/test/unified_shared_memory/shared_update.c b/openmp/libomptarget/test/unified_shared_memory/shared_update.c
--- a/openmp/libomptarget/test/unified_shared_memory/shared_update.c
+++ b/openmp/libomptarget/test/unified_shared_memory/shared_update.c
@@ -1,4 +1,6 @@
 // RUN: %libomptarget-compile-run-and-check-generic
+
+// REQUIRES: unified_shared_memory
 // XFAIL: nvptx64-nvidia-cuda
 
 #include <stdio.h>