diff --git a/contrib/completion/git-completion.bash b/contrib/completion/git-completion.bash
index 1feb5165cf..fb50b4d075 100644
--- a/contrib/completion/git-completion.bash
+++ b/contrib/completion/git-completion.bash
@@ -301,6 +301,19 @@ __gitcomp_direct ()
 	COMPREPLY=($1)
 }
 
+# Similar to __gitcomp_direct, but appends to COMPREPLY instead.
+# Callers must take care of providing only words that match the current word
+# to be completed and adding any prefix and/or suffix (trailing space!), if
+# necessary.
+# 1: List of newline-separated matching completion words, complete with
+#    prefix and suffix.
+__gitcomp_direct_append ()
+{
+	local IFS=$'\n'
+
+	COMPREPLY+=($1)
+}
+
 __gitcompappend ()
 {
 	local x i=${#COMPREPLY[@]}
@@ -787,7 +800,11 @@ __git_complete_refs ()
 		shift
 	done
 
-	__gitcomp_direct "$(__git_refs "$remote" "$dwim" "$pfx" "$cur_" "$sfx")"
+	__gitcomp_direct "$(__git_refs "$remote" "" "$pfx" "$cur_" "$sfx")"
+
+	if [ "$dwim" = "yes" ]; then
+		__gitcomp_direct_append "$(__git_dwim_remote_heads "$pfx" "$cur_" "$sfx")"
+	fi
 }
 
 # __git_refs2 requires 1 argument (to pass to __git_refs)