Keane said: "I was looking for the hat-trick, but it is not about me. I'd got two goals and would always like more, but seeing the board go up with my number was not an issue for me.
"People are trying to make a big deal out of it, which is not the case. Things like that do not matter - because this is a team.
"The most important thing was that we keep winning, and that I am part of that winning side."
Keane certainly managed to silence the noisy Albion fans, who had been goading him over his previous links with Black Country neighbours Wolves.
He said: "I enjoy scoring against West Brom, because they always give me stick over my Wolves days. I think it's eight (goals) in six games now for me, so that is nice.
"They don't forget, even if it is a long time ago. Wolves and West Brom don't forget things like that."
Keane scored his first after a fine pass from Steven Gerrard and second following a high-speed break from defence and a Fabio Aurelio long ball.
He said: "The manager always had confidence in me, and I always knew the goals would come.
"Maybe it has taken me a while, and sometimes it takes a bit longer to get to know the play.
"It has taken me longer than I had hoped, but with every game I am getting more confident. The evidence was there for everyone to see."