diff --git a/python/cog/predictor.py b/python/cog/predictor.py
index 6294212c5e..73786f0f4c 100644
--- a/python/cog/predictor.py
+++ b/python/cog/predictor.py
@@ -196,7 +196,10 @@ def cleanup(self) -> None:
             # Note this is pathlib.Path, which cog.Path is a subclass of. A pathlib.Path object shouldn't make its way here,
             # but both have an unlink() method, so may as well be safe.
             elif isinstance(value, Path):
-                value.unlink(missing_ok=True)
+                try:
+                    value.unlink()
+                except FileNotFoundError:
+                    pass
 
 
 def get_predict(predictor: Any) -> Callable:
diff --git a/python/cog/types.py b/python/cog/types.py
index 52842c1e3a..91d80b1b1c 100644
--- a/python/cog/types.py
+++ b/python/cog/types.py
@@ -123,8 +123,13 @@ def convert(self) -> Path:
         return self._path
 
     def unlink(self, missing_ok: bool = False) -> None:
-        if self._path and self._path.exists():
-            self._path.unlink(missing_ok=missing_ok)
+        if self._path:
+            # TODO: use unlink(missing_ok=...) when we drop Python 3.7 support.
+            try:
+                self._path.unlink()
+            except FileNotFoundError:
+                if not missing_ok:
+                    raise
 
     def __str__(self) -> str:
         # FastAPI's jsonable_encoder will encode subclasses of pathlib.Path by