diff --git a/Tests/test_file_libtiff.py b/Tests/test_file_libtiff.py
index 3f2e5dbc1..22b641b5f 100644
--- a/Tests/test_file_libtiff.py
+++ b/Tests/test_file_libtiff.py
@@ -17,7 +17,6 @@ from .helper import (
     assert_image_similar,
     assert_image_similar_tofile,
     hopper,
-    is_big_endian,
     skip_unless_feature,
 )
 
@@ -892,7 +891,6 @@ class TestFileLibTiff(LibTiffTestCase):
         with Image.open("Tests/images/tiff_strip_planar_16bit_RGBa.tiff") as im:
             assert_image_equal_tofile(im, "Tests/images/tiff_16bit_RGBa_target.png")
 
-    @pytest.mark.xfail(is_big_endian(), reason="Fails on big-endian")
     def test_old_style_jpeg(self):
         infile = "Tests/images/old-style-jpeg-compression.tif"
         with Image.open(infile) as im:
diff --git a/src/libImaging/TiffDecode.c b/src/libImaging/TiffDecode.c
index e20f57596..b1a30f449 100644
--- a/src/libImaging/TiffDecode.c
+++ b/src/libImaging/TiffDecode.c
@@ -292,6 +292,10 @@ _decodeStripYCbCr(Imaging im, ImagingCodecState state, TIFF *tiff) {
             goto decodeycbcr_err;
         }
 
+#if WORDS_BIGENDIAN
+        TIFFSwabArrayOfLong((UINT32 *)state->buffer, img.width * rows_to_read);
+#endif
+
         TRACE(("Decoded strip for row %d \n", state->y));
 
         // iterate over each row in the strip and stuff data into image
@@ -623,6 +627,10 @@ ImagingLibTiffDecode(
                             state->errcode = IMAGING_CODEC_BROKEN;
                             goto decode_err;
                         }
+
+#if WORDS_BIGENDIAN
+                    TIFFSwabArrayOfLong((UINT32 *)state->buffer, tile_width * tile_length);
+#endif
                     } else {
                         if (TIFFReadTile(tiff, (tdata_t)state->buffer, x, y, 0, plane) == -1) {
                             TRACE(("Decode Error, Tile at %dx%d\n", x, y));