diff --git a/dvc/tree/http.py b/dvc/tree/http.py
index abed95ca4..dfe6f8bb9 100644
--- a/dvc/tree/http.py
+++ b/dvc/tree/http.py
@@ -136,12 +136,6 @@ class HTTPTree(BaseTree):  # pylint:disable=abstract-method
                 "Content-MD5 header for '{url}'".format(url=url)
             )
 
-        if etag.startswith("W/"):
-            raise DvcException(
-                "Weak ETags are not supported."
-                " (Etag: '{etag}', URL: '{url}')".format(etag=etag, url=url)
-            )
-
         return etag
 
     def _download(self, from_info, to_file, name=None, no_progress_bar=False):
diff --git a/dvc/tree/webdav.py b/dvc/tree/webdav.py
index 115de3176..48c48b89a 100644
--- a/dvc/tree/webdav.py
+++ b/dvc/tree/webdav.py
@@ -142,14 +142,6 @@ class WebDAVTree(BaseTree):  # pylint:disable=abstract-method
                 "Content-MD5 header for '{url}'".format(url=path_info.url)
             )
 
-        if etag.startswith("W/"):
-            raise DvcException(
-                "Weak ETags are not supported."
-                " (Etag: '{etag}', URL: '{url}')".format(
-                    etag=etag, url=path_info.url
-                )
-            )
-
         return etag
 
     # Checks whether path points to directory