diff --git a/Tests/test_file_jpeg.py b/Tests/test_file_jpeg.py
index 1dc82ef1e..b62132613 100644
--- a/Tests/test_file_jpeg.py
+++ b/Tests/test_file_jpeg.py
@@ -214,13 +214,20 @@ class TestFileJpeg:
             # Should not raise OSError for image with icc larger than image size.
             im.save(
                 f,
-                format="JPEG",
                 progressive=True,
                 quality=95,
                 icc_profile=icc_profile,
                 optimize=True,
             )
 
+        with Image.open("Tests/images/flower2.jpg") as im:
+            f = str(tmp_path / "temp2.jpg")
+            im.save(f, progressive=True, quality=94, icc_profile=b" " * 53955)
+
+        with Image.open("Tests/images/flower2.jpg") as im:
+            f = str(tmp_path / "temp3.jpg")
+            im.save(f, progressive=True, quality=94, exif=b" " * 43668)
+
     def test_optimize(self):
         im1 = self.roundtrip(hopper())
         im2 = self.roundtrip(hopper(), optimize=0)
diff --git a/src/PIL/JpegImagePlugin.py b/src/PIL/JpegImagePlugin.py
index fe921eb65..74130854f 100644
--- a/src/PIL/JpegImagePlugin.py
+++ b/src/PIL/JpegImagePlugin.py
@@ -797,10 +797,14 @@ def _save(im, fp, filename):
             bufsize = 2 * im.size[0] * im.size[1]
         else:
             bufsize = im.size[0] * im.size[1]
-
-    # The EXIF info needs to be written as one block, + APP1, + one spare byte.
-    # Ensure that our buffer is big enough. Same with the icc_profile block.
-    bufsize = max(bufsize, len(exif) + 5, len(extra) + 1)
+        if exif:
+            bufsize += len(exif) + 5
+        if extra:
+            bufsize += len(extra) + 1
+    else:
+        # The EXIF info needs to be written as one block, + APP1, + one spare byte.
+        # Ensure that our buffer is big enough. Same with the icc_profile block.
+        bufsize = max(bufsize, len(exif) + 5, len(extra) + 1)
 
     ImageFile._save(im, fp, [("jpeg", (0, 0) + im.size, 0, rawmode)], bufsize)