Sjoerd Mullender writes:

If a filename on Windows starts with \\, it is converted to a URL
which starts with ////.  If this URL is passed to urlparse.urlparse
you get a path that starts with // (and an empty netloc).  If you pass
the result back to urlparse.urlunparse, you get a URL that starts with
//, which is parsed differently by urlparse.urlparse.  The fix is to
add the (empty) netloc with accompanying slashes if the path in
urlunparse starts with //.  Do this for all schemes that use a netloc.
diff --git a/Lib/urlparse.py b/Lib/urlparse.py
index 698b726..4552e6e 100644
--- a/Lib/urlparse.py
+++ b/Lib/urlparse.py
@@ -112,9 +112,9 @@
 # had redundant delimiters, e.g. a ? with an empty query (the draft
 # states that these are equivalent).
 def urlunparse((scheme, netloc, url, params, query, fragment)):
-	if netloc:
+	if netloc or (scheme in uses_netloc and url[:2] == '//'):
 		if url[:1] != '/': url = '/' + url
-		url = '//' + netloc + url
+		url = '//' + (netloc or '') + url
 	if scheme:
 		url = scheme + ':' + url
 	if params: