diff --git a/untls_proxy.py b/untls_proxy.py
index 46b93a8..ad5441b 100755
--- a/untls_proxy.py
+++ b/untls_proxy.py
@@ -227,10 +227,10 @@ def proxy(sock, host):
 	del username
 	del password
 
-	# Remove headers that don't need forwarding
-	headers = dict((key, value) for key, value in headers.items() if not key.startswith(b'proxy-'))
+	# Remove headers that don't need forwarding or are overwritten
+	headers = dict((key, value) for key, value in headers.items() if not key.startswith(b'proxy-') and not key in (b'connection', b'keep-alive'))
 
-	# TODO: connection: close
+	headers[b'connection'] = b' close'
 
 	# Split url into its constituents
 	fields = url.split(b'://', 1)