diff --git a/news/7390.trivial.rst b/news/7390.trivial.rst
new file mode 100644
index 00000000000..fd79119d6e7
--- /dev/null
+++ b/news/7390.trivial.rst
@@ -0,0 +1 @@
+Standardize ``Link`` representation in logs.
diff --git a/src/pip/_internal/index/collector.py b/src/pip/_internal/index/collector.py
index e6e9469af1a..a790d365974 100644
--- a/src/pip/_internal/index/collector.py
+++ b/src/pip/_internal/index/collector.py
@@ -424,7 +424,10 @@ def _handle_get_page_fail(
 ) -> None:
     if meth is None:
         meth = logger.debug
-    meth("Could not fetch URL %s: %s - skipping", link, reason)
+    url = str(link)
+    if logger.getEffectiveLevel() > logging.DEBUG:
+        url = link.show_url
+    meth("Could not fetch URL %s: %s - skipping", url, reason)
 
 
 def _make_html_page(response: Response, cache_link_parsing: bool = True) -> HTMLPage:
diff --git a/src/pip/_internal/network/download.py b/src/pip/_internal/network/download.py
index 35bc970e260..5ba91ce550e 100644
--- a/src/pip/_internal/network/download.py
+++ b/src/pip/_internal/network/download.py
@@ -10,7 +10,6 @@
 
 from pip._internal.cli.progress_bars import get_download_progress_renderer
 from pip._internal.exceptions import NetworkConnectionError
-from pip._internal.models.index import PyPI
 from pip._internal.models.link import Link
 from pip._internal.network.cache import is_from_cache
 from pip._internal.network.session import PipSession
@@ -34,11 +33,7 @@ def _prepare_download(
 ) -> Iterable[bytes]:
     total_length = _get_http_response_size(resp)
 
-    if link.netloc == PyPI.file_storage_domain:
-        url = link.show_url
-    else:
-        url = link.url_without_fragment
-
+    url = link.show_url
     logged_url = redact_auth_from_url(url)
 
     if total_length:
@@ -170,7 +165,7 @@ def __call__(
                 logger.critical(
                     "HTTP error %s while getting %s",
                     e.response.status_code,
-                    link,
+                    link.show_url,
                 )
                 raise
 
diff --git a/tests/unit/test_network_download.py b/tests/unit/test_network_download.py
index 53200f2e511..ca47b116460 100644
--- a/tests/unit/test_network_download.py
+++ b/tests/unit/test_network_download.py
@@ -20,19 +20,19 @@
             "http://example.com/foo.tgz",
             {},
             False,
-            "Downloading http://example.com/foo.tgz",
+            "Downloading foo.tgz",
         ),
         (
             "http://example.com/foo.tgz",
             {"content-length": "2"},
             False,
-            "Downloading http://example.com/foo.tgz (2 bytes)",
+            "Downloading foo.tgz (2 bytes)",
         ),
         (
             "http://example.com/foo.tgz",
             {"content-length": "2"},
             True,
-            "Using cached http://example.com/foo.tgz (2 bytes)",
+            "Using cached foo.tgz (2 bytes)",
         ),
         ("https://files.pythonhosted.org/foo.tgz", {}, False, "Downloading foo.tgz"),
         (