Suarez was speaking after scoring twice in victory over Deportivo La Coruna on Sunday.
"It would be a plus to win at the Bernabéu, but there are other rivals like Atleti or Valencia who are pushing," he said.
On his goals, the striker added: "I'm happy to help the team and to keep scoring, also on a personal level."
Lionel Messi failed to get on the scoresheet for the 4-0 win.
But Suarez insisted: "When he does not want to score, he does not score, but we know how important he is for us."