diff --git a/Tests/test_file_libtiff.py b/Tests/test_file_libtiff.py
index 62f8719af53..9c49b1534ed 100644
--- a/Tests/test_file_libtiff.py
+++ b/Tests/test_file_libtiff.py
@@ -1098,6 +1098,25 @@ def test_exif_transpose(self) -> None:
 
                     assert_image_similar(base_im, im, 0.7)
 
+    @pytest.mark.parametrize(
+        "test_file",
+        [
+            "Tests/images/old-style-jpeg-compression-no-samplesperpixel.tif",
+            "Tests/images/old-style-jpeg-compression.tif",
+        ],
+    )
+    def test_buffering(self, test_file: str) -> None:
+        # load exif first
+        with Image.open(open(test_file, "rb", buffering=1048576)) as im:
+            exif = dict(im.getexif())
+
+        # load image before exif
+        with Image.open(open(test_file, "rb", buffering=1048576)) as im2:
+            im2.load()
+            exif_after_load = dict(im2.getexif())
+
+        assert exif == exif_after_load
+
     @pytest.mark.valgrind_known_error(reason="Backtrace in Python Core")
     def test_sampleformat_not_corrupted(self) -> None:
         # Assert that a TIFF image with SampleFormat=UINT tag is not corrupted
diff --git a/Tests/test_libtiff_file_position.py b/Tests/test_libtiff_file_position.py
deleted file mode 100644
index 43ed82c30e1..00000000000
--- a/Tests/test_libtiff_file_position.py
+++ /dev/null
@@ -1,25 +0,0 @@
-from __future__ import annotations
-
-import pytest
-
-from PIL import Image
-
-
-@pytest.mark.parametrize(
-    "test_file",
-    [
-        "Tests/images/old-style-jpeg-compression-no-samplesperpixel.tif",
-        "Tests/images/old-style-jpeg-compression.tif",
-    ],
-)
-def test_libtiff_exif_loading(test_file) -> None:
-    # loading image before exif
-    im1 = Image.open(open(test_file, "rb", buffering=1048576))
-    im1.load()
-    exif1 = dict(im1.getexif())
-
-    # loading exif before image
-    im2 = Image.open(open(test_file, "rb", buffering=1048576))
-    exif2 = dict(im2.getexif())
-
-    assert exif1 == exif2