diff --git a/test_conformance/basic/test_constant.c b/test_conformance/basic/test_constant.c
index eb156e49..ddc9e016 100644
--- a/test_conformance/basic/test_constant.c
+++ b/test_conformance/basic/test_constant.c
@@ -100,7 +100,7 @@ test_constant(cl_device_id device, cl_context context, cl_command_queue queue, i
     size_t    global_threads[3];
     int                err;
     unsigned int                i;
-    cl_ulong maxSize;
+    cl_ulong maxSize, maxGlobalSize, maxAllocSize;
     size_t num_floats, num_ints, constant_values;
     MTdata          d;
     RoundingMode     oldRoundMode;
@@ -111,6 +111,14 @@ test_constant(cl_device_id device, cl_context context, cl_command_queue queue, i
     test_error( err, "Unable to get max constant buffer size" );
 
   log_info("Device reports CL_DEVICE_MAX_CONSTANT_BUFFER_SIZE %llu bytes.\n", maxSize);
+  err = clGetDeviceInfo(device, CL_DEVICE_GLOBAL_MEM_SIZE, sizeof(maxGlobalSize), &maxGlobalSize, 0);
+  test_error(err, "Unable to get CL_DEVICE_GLOBAL_MEM_SIZE");
+  if (maxSize > maxGlobalSize / 4)
+    maxSize = maxGlobalSize / 4;
+  err = clGetDeviceInfo(device, CL_DEVICE_MAX_MEM_ALLOC_SIZE , sizeof(maxAllocSize), &maxAllocSize, 0);
+  test_error(err, "Unable to get CL_DEVICE_MAX_MEM_ALLOC_SIZE ");
+  if (maxSize > maxAllocSize)
+    maxSize = maxAllocSize;
   maxSize/=4;
   num_ints = (size_t)maxSize/sizeof(cl_int);
   num_floats = (size_t)maxSize/sizeof(cl_float);