diff --git a/lib/matplotlib/backend_bases.py b/lib/matplotlib/backend_bases.py
index 2d225a3123ce..8b0bc695d213 100644
--- a/lib/matplotlib/backend_bases.py
+++ b/lib/matplotlib/backend_bases.py
@@ -837,7 +837,12 @@ def get_clip_path(self):
         an affine transform to apply to the path before clipping.
         """
         if self._clippath is not None:
-            return self._clippath.get_transformed_path_and_affine()
+            tpath, tr = self._clippath.get_transformed_path_and_affine()
+            if np.all(np.isfinite(tpath.vertices)):
+                return tpath, tr
+            else:
+                _log.warning("Ill-defined clip_path detected. Returning None.")
+                return None, None
         return None, None
 
     def get_dashes(self):