diff --git a/Lib/http/client.py b/Lib/http/client.py
index 6828f146a7c..d226f63ac4a 100644
--- a/Lib/http/client.py
+++ b/Lib/http/client.py
@@ -563,7 +563,7 @@ def _read_chunked(self, amt):
                 # a vanishingly small number of sites EOF without
                 # sending the trailer
                 break
-            if line == b"\r\n":
+            if line in (b'\r\n', b'\n', b''):
                 break
 
         # we read everything; close the "file"
@@ -718,7 +718,7 @@ def _tunnel(self):
             if not line:
                 # for sites which EOF without sending a trailer
                 break
-            if line == b'\r\n':
+            if line in (b'\r\n', b'\n', b''):
                 break
 
     def connect(self):