diff --git a/tests/test_modeling_common.py b/tests/test_modeling_common.py
index 8a69b2e0a3a..4c7cef05c35 100755
--- a/tests/test_modeling_common.py
+++ b/tests/test_modeling_common.py
@@ -3799,8 +3799,20 @@ class ModelTesterMixin:
                 self.skipTest(reason="Idefics currently (transformers==4.39.1) requires an image_attention_mask input")
             if config.model_type in ["sam"]:
                 self.skipTest(reason="SAM requires an attention_mask input for relative positional embeddings")
+
             model = model_class(config)
 
+            sub_models_supporting_sdpa = [
+                module._supports_sdpa
+                for name, module in model.named_modules()
+                if isinstance(module, PreTrainedModel) and name != ""
+            ]
+            supports_sdpa_all_modules = (
+                all(sub_models_supporting_sdpa) if len(sub_models_supporting_sdpa) > 0 else model._supports_sdpa
+            )
+            if not supports_sdpa_all_modules:
+                self.skipTest(reason="This models' submodels does not support sdpa")
+
             with tempfile.TemporaryDirectory() as tmpdirname:
                 model.save_pretrained(tmpdirname)
                 model = model_class.from_pretrained(tmpdirname, torch_dtype=torch.float16, attn_implementation="sdpa")
@@ -3848,8 +3860,20 @@ class ModelTesterMixin:
                     "Cannot compile forward without an existing cache with Hybrid, as `torch._dynamo.mark_static_address` "
                     "is a forbidden call."
                 )
+
             model = model_class(config)
 
+            sub_models_supporting_sdpa = [
+                module._supports_sdpa
+                for name, module in model.named_modules()
+                if isinstance(module, PreTrainedModel) and name != ""
+            ]
+            supports_sdpa_all_modules = (
+                all(sub_models_supporting_sdpa) if len(sub_models_supporting_sdpa) > 0 else model._supports_sdpa
+            )
+            if not supports_sdpa_all_modules:
+                self.skipTest(reason="This models' submodels does not support sdpa")
+
             with tempfile.TemporaryDirectory() as tmpdirname:
                 model.save_pretrained(tmpdirname)
                 model = model_class.from_pretrained(tmpdirname, torch_dtype=torch.float16, attn_implementation="sdpa")