diff --git a/pandas/core/frame.py b/pandas/core/frame.py
index 643974db5f2bf..1cde95edccfc4 100644
--- a/pandas/core/frame.py
+++ b/pandas/core/frame.py
@@ -4408,7 +4408,7 @@ def _setitem_array(self, key, value) -> None:
 
             if isinstance(value, DataFrame):
                 check_key_length(self.columns, key, value)
-                for k1, k2 in zip(key, value.columns, strict=False):
+                for k1, k2 in zip(key, value.columns, strict=True):
                     self[k1] = value[k2]
 
             elif not is_list_like(value):