diff --git a/tests/basic_correctness/test_cpu_offload.py b/tests/basic_correctness/test_cpu_offload.py
index a5df5639cf948..3ab01d52277d7 100644
--- a/tests/basic_correctness/test_cpu_offload.py
+++ b/tests/basic_correctness/test_cpu_offload.py
@@ -4,3 +4,5 @@
 def test_cpu_offload():
     compare_two_settings("meta-llama/Llama-2-7b-hf", [],
                          ["--cpu-offload-gb", "4"])
+    compare_two_settings("nm-testing/llama7b-one-shot-2_4-w4a16-marlin24-t",
+                         [], ["--cpu-offload-gb", "1"])