diff --git a/yt_dlp/extractor/generic.py b/yt_dlp/extractor/generic.py
index b0c7be4627..721d04e317 100644
--- a/yt_dlp/extractor/generic.py
+++ b/yt_dlp/extractor/generic.py
@@ -16,7 +16,6 @@ from ..utils import (
     MEDIA_EXTENSIONS,
     ExtractorError,
     UnsupportedError,
-    base_url,
     determine_ext,
     determine_protocol,
     dict_get,
@@ -38,6 +37,7 @@ from ..utils import (
     unescapeHTML,
     unified_timestamp,
     unsmuggle_url,
+    update_url,
     update_url_query,
     url_or_none,
     urlhandle_detect_ext,
@@ -2538,12 +2538,13 @@ class GenericIE(InfoExtractor):
                 return self.playlist_result(
                     self._parse_xspf(
                         doc, video_id, xspf_url=url,
-                        xspf_base_url=full_response.url),
+                        xspf_base_url=new_url),
                     video_id)
             elif re.match(r'(?i)^(?:{[^}]+})?MPD$', doc.tag):
                 info_dict['formats'], info_dict['subtitles'] = self._parse_mpd_formats_and_subtitles(
                     doc,
-                    mpd_base_url=base_url(full_response.url),
+                    # Do not use yt_dlp.utils.base_url here since it will raise on file:// URLs
+                    mpd_base_url=update_url(new_url, query=None, fragment=None).rpartition('/')[0],
                     mpd_url=url)
                 info_dict['live_status'] = 'is_live' if doc.get('type') == 'dynamic' else None
                 self._extra_manifest_info(info_dict, url)