diff --git a/src/xz/file.py b/src/xz/file.py
index 7d96993..271ca3b 100644
--- a/src/xz/file.py
+++ b/src/xz/file.py
@@ -178,7 +178,12 @@ def _init_parse(self) -> None:
             self._append(streams.pop())
 
     def _create_fileobj(self) -> XZStream:
-        stream_pos = sum(len(stream.fileobj) for stream in self._fileobjs.values())
+        last_stream = self._last_stream
+        stream_pos = (
+            last_stream.fileobj.start + len(last_stream.fileobj)
+            if last_stream is not None
+            else 0
+        )
         return XZStream(
             IOProxy(
                 self.fileobj,
diff --git a/tests/unit/test_file.py b/tests/unit/test_file.py
index 09379b8..cf0d25b 100644
--- a/tests/unit/test_file.py
+++ b/tests/unit/test_file.py
@@ -1,5 +1,6 @@
 from collections.abc import Callable
 from io import SEEK_END, SEEK_SET, BytesIO, UnsupportedOperation
+from lzma import compress
 import os
 from pathlib import Path
 from typing import cast
@@ -494,6 +495,71 @@ def test_write_with_mode(
             assert value == expected_value
 
 
+@pytest.mark.parametrize("from_file", [False, True])
+@pytest.mark.parametrize(
+    ["payloads", "padding_size", "trailing_padding_size"],
+    [
+        ((b"first", b"second"), 0, 0),
+        ((b"first", b"second"), 4, 0),
+        ((b"first", b"second"), 12, 0),
+        ((b"first", b"second"), 64, 8),
+        ((b"", b"first", b"second"), 0, 0),
+        ((b"first", b"", b"second"), 0, 0),
+        ((b"first", b"second", b""), 4, 8),
+    ],
+)
+def test_append_stream_after_existing_gaps(
+    payloads: tuple[bytes, ...],
+    padding_size: int,
+    trailing_padding_size: int,
+    from_file: bool,
+    tmp_path: Path,
+) -> None:
+    original = bytes(padding_size).join(compress(data) for data in payloads)
+    filename: Path | BytesIO
+    if from_file:
+        filename = tmp_path / "archive.xz"
+        filename.write_bytes(original + bytes(trailing_padding_size))
+    else:
+        filename = BytesIO(original + bytes(trailing_padding_size))
+        filename.seek(7)
+
+    with XZFile(filename, "r+") as xzfile:
+        assert xzfile.read() == b"".join(payloads)
+        xzfile.seek(0, SEEK_END)
+        xzfile.change_stream()
+        xzfile.change_stream()  # an unwritten stream is replaced
+        xzfile.write(b"third")
+
+    if from_file:
+        edited = cast("Path", filename).read_bytes()
+    else:
+        edited = cast("BytesIO", filename).getvalue()
+
+    if payloads[-1]:
+        assert edited.startswith(original)
+    with XZFile(BytesIO(edited)) as xzfile:
+        assert xzfile.read() == b"".join(payloads) + b"third"
+
+
+def test_append_stream_after_truncate() -> None:
+    payloads = (b"first", b"second", b"third", b"fourth")
+    encoded = [compress(data) for data in payloads]
+    filename = BytesIO(bytes(4).join(encoded) + bytes(8))
+    expected_prefix = bytes(4).join(encoded[:-1])
+    expected_data = b"".join(payloads[:-1])
+
+    with XZFile(filename, "r+") as xzfile:
+        xzfile.truncate(len(expected_data))
+        xzfile.seek(0, SEEK_END)
+        xzfile.change_stream()
+        xzfile.write(b"replacement")
+
+    assert filename.getvalue().startswith(expected_prefix)
+    with XZFile(BytesIO(filename.getvalue())) as xzfile:
+        assert xzfile.read() == expected_data + b"replacement"
+
+
 #
 # check / filters / preset changes
 #