diff --git a/drivers/gpu/drm/i915/selftests/intel_memory_region.c b/drivers/gpu/drm/i915/selftests/intel_memory_region.c
index 6e80d99048e4..741270fcb6b9 100644
--- a/drivers/gpu/drm/i915/selftests/intel_memory_region.c
+++ b/drivers/gpu/drm/i915/selftests/intel_memory_region.c
@@ -522,9 +522,9 @@ static int igt_lmem_write_cpu(void *arg)
 		goto out_unpin;
 	}
 
-	/* We want to throw in a random width/align */
-	bytes[0] = igt_random_offset(&prng, 0, PAGE_SIZE, sizeof(u32),
-				     sizeof(u32));
+	/* A random multiple of u32, picked between [64, PAGE_SIZE - 64] */
+	bytes[0] = igt_random_offset(&prng, 64, PAGE_SIZE - 64, 0, sizeof(u32));
+	GEM_BUG_ON(!IS_ALIGNED(bytes[0], sizeof(u32)));
 
 	i = 0;
 	do {