diff --git a/src/pip/_internal/network/download.py b/src/pip/_internal/network/download.py
index 9881cc285fa..d607554cd5f 100644
--- a/src/pip/_internal/network/download.py
+++ b/src/pip/_internal/network/download.py
@@ -19,7 +19,6 @@
 
 from pip._internal.cli.progress_bars import BarType, get_download_progress_renderer
 from pip._internal.exceptions import IncompleteDownloadError, NetworkConnectionError
-from pip._internal.models.index import PyPI
 from pip._internal.models.link import Link
 from pip._internal.network.cache import SafeFileCache, is_from_cache
 from pip._internal.network.session import CacheControlAdapter, PipSession
@@ -51,10 +50,10 @@ def _log_download(
     total_length: int | None,
     range_start: int | None = 0,
 ) -> Iterable[bytes]:
-    if link.netloc == PyPI.file_storage_domain:
-        url = link.show_url
-    else:
+    if logger.getEffectiveLevel() > logging.INFO:
         url = link.url_without_fragment
+    else:
+        url = link.show_url
 
     logged_url = redact_auth_from_url(url)
 
diff --git a/tests/unit/test_network_download.py b/tests/unit/test_network_download.py
index 7fb6b7fe64b..0f08d8010c3 100644
--- a/tests/unit/test_network_download.py
+++ b/tests/unit/test_network_download.py
@@ -30,21 +30,21 @@
             {},
             False,
             None,
-            "Downloading http://example.com/foo.tgz",
+            "Downloading foo.tgz",
         ),
         (
             "http://example.com/foo.tgz",
             {"content-length": "2"},
             False,
             None,
-            "Downloading http://example.com/foo.tgz (2 bytes)",
+            "Downloading foo.tgz (2 bytes)",
         ),
         (
             "http://example.com/foo.tgz",
             {"content-length": "2"},
             True,
             None,
-            "Using cached http://example.com/foo.tgz (2 bytes)",
+            "Using cached foo.tgz (2 bytes)",
         ),
         (
             "https://files.pythonhosted.org/foo.tgz",
@@ -72,7 +72,7 @@
             {"content-length": "200"},
             False,
             100,
-            "Resuming download http://example.com/foo.tgz (100 bytes/200 bytes)",
+            "Resuming download foo.tgz (100 bytes/200 bytes)",
         ),
     ],
 )