diff --git a/monai/metrics/hausdorff_distance.py b/monai/metrics/hausdorff_distance.py
index 7644e52f83..51748c43c1 100644
--- a/monai/metrics/hausdorff_distance.py
+++ b/monai/metrics/hausdorff_distance.py
@@ -85,7 +85,7 @@ def _compute_tensor(self, y_pred: torch.Tensor, y: torch.Tensor):  # type: ignor
         if not torch.all(y_pred.byte() == y_pred):
             warnings.warn("y_pred should be a binarized tensor.")
         if not torch.all(y.byte() == y):
-            raise ValueError("y should be a binarized tensor.")
+            warnings.warn("y should be a binarized tensor.")
         dims = y_pred.ndimension()
         if dims < 3:
             raise ValueError("y_pred should have at least three dimensions.")
diff --git a/monai/metrics/meandice.py b/monai/metrics/meandice.py
index f1e272bbe5..15635ff2d9 100644
--- a/monai/metrics/meandice.py
+++ b/monai/metrics/meandice.py
@@ -72,7 +72,7 @@ def _compute_tensor(self, y_pred: torch.Tensor, y: torch.Tensor):  # type: ignor
         if not torch.all(y_pred.byte() == y_pred):
             warnings.warn("y_pred should be a binarized tensor.")
         if not torch.all(y.byte() == y):
-            raise ValueError("y should be a binarized tensor.")
+            warnings.warn("y should be a binarized tensor.")
         dims = y_pred.ndimension()
         if dims < 3:
             raise ValueError("y_pred should have at least three dimensions.")
diff --git a/monai/metrics/surface_distance.py b/monai/metrics/surface_distance.py
index 11b472185d..fce4b735e5 100644
--- a/monai/metrics/surface_distance.py
+++ b/monai/metrics/surface_distance.py
@@ -78,7 +78,7 @@ def _compute_tensor(self, y_pred: torch.Tensor, y: torch.Tensor):  # type: ignor
         if not torch.all(y_pred.byte() == y_pred):
             warnings.warn("y_pred should be a binarized tensor.")
         if not torch.all(y.byte() == y):
-            raise ValueError("y should be a binarized tensor.")
+            warnings.warn("y should be a binarized tensor.")
         dims = y_pred.ndimension()
         if dims < 3:
             raise ValueError("y_pred should have at least three dimensions.")