diff --git a/contrib/completion/git-completion.bash b/contrib/completion/git-completion.bash
index 1150164d5c..b617019075 100644
--- a/contrib/completion/git-completion.bash
+++ b/contrib/completion/git-completion.bash
@@ -709,6 +709,7 @@ __git_complete_remote_or_refspec ()
 		i="${words[c]}"
 		case "$i" in
 		--mirror) [ "$cmd" = "push" ] && no_complete_refspec=1 ;;
+		-d|--delete) [ "$cmd" = "push" ] && lhs=0 ;;
 		--all)
 			case "$cmd" in
 			push) no_complete_refspec=1 ;;
diff --git a/t/t9902-completion.sh b/t/t9902-completion.sh
index 5ed28135be..2cb999ecfa 100755
--- a/t/t9902-completion.sh
+++ b/t/t9902-completion.sh
@@ -1457,4 +1457,38 @@ test_expect_failure 'complete with tilde expansion' '
 	test_completion "git add ~/tmp/" "~/tmp/file"
 '
 
+test_expect_success 'setup other remote for remote reference completion' '
+	git remote add other otherrepo &&
+	git fetch other
+'
+
+for flag in -d --delete
+do
+	test_expect_success "__git_complete_remote_or_refspec - push $flag other" '
+		sed -e "s/Z$//" >expected <<-EOF &&
+		master-in-other Z
+		EOF
+		(
+			words=(git push '$flag' other ma) &&
+			cword=${#words[@]} cur=${words[cword-1]} &&
+			__git_complete_remote_or_refspec &&
+			print_comp
+		) &&
+		test_cmp expected out
+	'
+
+	test_expect_failure "__git_complete_remote_or_refspec - push other $flag" '
+		sed -e "s/Z$//" >expected <<-EOF &&
+		master-in-other Z
+		EOF
+		(
+			words=(git push other '$flag' ma) &&
+			cword=${#words[@]} cur=${words[cword-1]} &&
+			__git_complete_remote_or_refspec &&
+			print_comp
+		) &&
+		test_cmp expected out
+	'
+done
+
 test_done