diff --git a/Tests/test_file_tiff.py b/Tests/test_file_tiff.py
index 30c6303a2..f13436ce8 100644
--- a/Tests/test_file_tiff.py
+++ b/Tests/test_file_tiff.py
@@ -96,10 +96,17 @@ class TestFileTiff:
 
             assert_image_similar_tofile(im, "Tests/images/pil136.png", 1)
 
-    def test_bigtiff(self):
+    def test_bigtiff(self, tmp_path):
         with Image.open("Tests/images/hopper_bigtiff.tif") as im:
             assert_image_equal_tofile(im, "Tests/images/hopper.tif")
 
+        with Image.open("Tests/images/hopper_bigtiff.tif") as im:
+            # multistrip support not yet implemented
+            del im.tag_v2[273]
+
+            outfile = str(tmp_path / "temp.tif")
+            im.save(outfile, save_all=True, append_images=[im], tiffinfo=im.tag_v2)
+
     def test_set_legacy_api(self):
         ifd = TiffImagePlugin.ImageFileDirectory_v2()
         with pytest.raises(Exception) as e:
diff --git a/src/PIL/TiffImagePlugin.py b/src/PIL/TiffImagePlugin.py
index 1ca1b6ea9..8f975193a 100644
--- a/src/PIL/TiffImagePlugin.py
+++ b/src/PIL/TiffImagePlugin.py
@@ -1894,6 +1894,10 @@ class AppendingTiffWriter:
         8,  # srational
         4,  # float
         8,  # double
+        4,  # ifd
+        2,  # unicode
+        4,  # complex
+        8,  # long8
     ]
 
     #    StripOffsets = 273