diff --git a/Tests/test_file_libtiff.py b/Tests/test_file_libtiff.py
index 855a9ab3a..9d9e49289 100644
--- a/Tests/test_file_libtiff.py
+++ b/Tests/test_file_libtiff.py
@@ -456,6 +456,14 @@ class TestFileLibTiff(LibTiffTestCase):
         assert size_compressed > size_jpeg
         assert size_jpeg > size_jpeg_30
 
+    def test_tiff_jpeg_compression(self, tmp_path):
+        im = hopper("RGB")
+        out = str(tmp_path / "temp.tif")
+        im.save(out, compression="tiff_jpeg")
+
+        with Image.open(out) as reloaded:
+            assert reloaded.info["compression"] == "jpeg"
+
     def test_quality(self, tmp_path):
         im = hopper("RGB")
         out = str(tmp_path / "temp.tif")
diff --git a/src/PIL/TiffImagePlugin.py b/src/PIL/TiffImagePlugin.py
index ee183ccba..cb4fef130 100644
--- a/src/PIL/TiffImagePlugin.py
+++ b/src/PIL/TiffImagePlugin.py
@@ -1408,6 +1408,9 @@ def _save(im, fp, filename):
     compression = im.encoderinfo.get("compression", im.info.get("compression"))
     if compression is None:
         compression = "raw"
+    elif compression == "tiff_jpeg":
+        # OJPEG is obsolete, so use new-style JPEG compression instead
+        compression = "jpeg"
 
     libtiff = WRITE_LIBTIFF or compression != "raw"