diff --git a/src/PIL/Image.py b/src/PIL/Image.py
index d0d5c18846c..842e5db56ea 100644
--- a/src/PIL/Image.py
+++ b/src/PIL/Image.py
@@ -1544,7 +1544,7 @@ def has_transparency_data(self) -> bool:
         """
         return (
             self.mode in ("LA", "La", "PA", "RGBA", "RGBa")
-            or (self.mode == "P" and self.palette.mode == "RGBA")
+            or (self.mode == "P" and self.palette.mode.endswith("A"))
             or "transparency" in self.info
         )