diff --git a/TrainingExtensions/common/src/python/aimet_common/cross_layer_equalization.py b/TrainingExtensions/common/src/python/aimet_common/cross_layer_equalization.py
index ff2cf1d3a42..b94ee0d6eb0 100644
--- a/TrainingExtensions/common/src/python/aimet_common/cross_layer_equalization.py
+++ b/TrainingExtensions/common/src/python/aimet_common/cross_layer_equalization.py
@@ -252,7 +252,8 @@ def find_downstream_layer_groups_to_scale(self, op, layer_groups: List, current_
             current_group.append(op)
 
         # Terminating condition for current group
-        if not op.get_module() or not op.type in self._cls_supported_layer_types + self._cls_supported_activation_types:
+        if not op.get_module() or not op.type in self._cls_supported_layer_types + self._cls_supported_activation_types \
+                or len(op.output_ops) > 1:
             if (len(current_group) > 1) and (current_group not in layer_groups):
                 layer_groups.append(current_group)
             current_group = []
diff --git a/TrainingExtensions/onnx/test/python/models/models_for_tests.py b/TrainingExtensions/onnx/test/python/models/models_for_tests.py
index 33a6d5d325d..1579410c5bc 100644
--- a/TrainingExtensions/onnx/test/python/models/models_for_tests.py
+++ b/TrainingExtensions/onnx/test/python/models/models_for_tests.py
@@ -2698,3 +2698,14 @@ def conv_with_weight_identity_input():
     )
     onnx.checker.check_model(model, True)
     return model
+
+
+def squeezenet1_0(tmpdir):
+    import torchvision
+    filepath = os.path.join(os.path.join(tmpdir, "squeezenet1_0.onnx"))
+    model = torchvision.models.squeezenet1_0()
+    torch.onnx.export(model.eval(), torch.randn(1, 3, 224, 224), filepath,
+                      training=torch.onnx.TrainingMode.EVAL, do_constant_folding=False,
+                      input_names=["input"], output_names=["output"])
+    model = onnx.load(filepath)
+    return ONNXModel(model)
diff --git a/TrainingExtensions/onnx/test/python/test_cross_layer_equalization.py b/TrainingExtensions/onnx/test/python/test_cross_layer_equalization.py
index 26869fdd009..bf2f17a61cd 100644
--- a/TrainingExtensions/onnx/test/python/test_cross_layer_equalization.py
+++ b/TrainingExtensions/onnx/test/python/test_cross_layer_equalization.py
@@ -187,6 +187,13 @@ def test_cle_transpose1D_model(self):
         output_after_cle = session.run(None, {'input': test_data})
         assert np.allclose(output_after_cle, output_before_cle, rtol=1e-2, atol=1e-5)
 
+    def test_cls_squeezenet(self, tmp_path):
+        model = models_for_tests.squeezenet1_0(tmp_path)
+        cls = CrossLayerScaling(model)
+        cls_set_infos = cls.scale_model()
+        # Squeezenet1_0 doesn't have any scalable sets
+        assert not cls_set_infos
+
 
 class TestHighBiasFold:
     """ Test methods for HighBiasFold"""