diff --git a/django/db/models/fields/files.py b/django/db/models/fields/files.py
index e10c8cd69a..95985684ee 100644
--- a/django/db/models/fields/files.py
+++ b/django/db/models/fields/files.py
@@ -458,8 +458,10 @@ class ImageField(FileField):
         Dimensions can be forced to update with force=True, which is how
         ImageFileDescriptor.__set__ calls this method.
         """
-        # Nothing to update if the field is deferred.
-        if self.attname not in instance.__dict__:
+        # Nothing to update if the field doesn't have dimension fields or if
+        # the field is deferred.
+        has_dimension_fields = self.width_field or self.height_field
+        if not has_dimension_fields or self.attname not in instance.__dict__:
             return
 
         # getattr will call the ImageFileDescriptor's __get__ method, which
diff --git a/tests/model_fields/test_imagefield.py b/tests/model_fields/test_imagefield.py
index 81ac9dad61..8bbfee30f2 100644
--- a/tests/model_fields/test_imagefield.py
+++ b/tests/model_fields/test_imagefield.py
@@ -336,6 +336,13 @@ class ImageFieldNoDimensionsTests(ImageFieldTwoDimensionsTests):
             [sender_id for (_, sender_id), *_ in signals.post_init.receivers],
         )
 
+    def test_save_does_not_close_file(self):
+        p = self.PersonModel(name="Joe")
+        p.mugshot.save("mug", self.file1)
+        with p.mugshot as f:
+            # Underlying file object wasn’t closed.
+            self.assertEqual(f.tell(), 0)
+
 
 @skipIf(Image is None, "Pillow is required to test ImageField")
 class ImageFieldOneDimensionTests(ImageFieldTwoDimensionsTests):