The victory allowed Sabri Lamouchi to beat Fulham, who was beaten 3-0 against Leeds United on Saturday.
Forest are now seven points behind Albion with seven games remaining after Slaven Bilic’s team suffered a 1-0 away defeat at Brentford on Friday evening.
And Yates told NottinghamshireLive: “To be honest, we don’t really look at who is behind us, we are more forward looking.
“We want to push those in front of us. The games are now thick and fast. We have to focus and recover properly.
“This result really doesn’t mean anything unless we support it against Bristol [on Wednesday]. ”
After stepping off the bench to score, he added, “It was a good time. After such a long break and the disappointment of having conceded the late goal last week, the most important thing was to win.
“I’m delighted for the guys and now we have to support him against Bristol. The gaffer just said to focus on performance. He wanted us to focus only on performance.
“He said if the performance was good, we would win the game, and we did. It was really our main goal.
“The guys came back in very good shape. But it’s only been two games. Wednesday, we have to take back the maximum points at home. “
Bilic held a meeting with his Baggies players Monday morning after being left with a bitter taste of the loss of Griffin Park.
Speaking at his press conference before the clash with Sheffield on Wednesday, he said: “I wanted to have a meeting with the players this morning before training.
“I wanted to tell them how I feel, how I see the situation now, how I see the match against Brentford and how I see the match in front of us, what is most important.
“We are injured. We are injured, but at the same time I expected it and I saw a very positive reaction from the boys.
“It’s not a cliché, we can’t wait for Wednesday’s game. The result is the result – Brentford away, you can go in there and lose 3-0, but you have to ask them more questions.
“You have to impose yourself and affect the game more than we do. We weren’t happy with it – we have to do better than that and the guys agree, of course they agree. ”