The Red Devils head into Saturday's clash with Brighton & Hove Albion trailing leaders Manchester City by eight points, but boasting the joint-best home record in the top flight.
Jose Mourinho's charges have won all six games at home so far this campaign, scoring 19 goals in the process and conceding just once.
"At home, we have to win," Herrera told Sky Sports News. "At Old Trafford we cannot give anything away. If we want to fight for every title, every game at Old Trafford has to be a final for us. We have to win every game at home.
"We have a good example the last weekend and now Brighton at home, we must go with everything. I sign now to win every game 1-0 at home! Of course we try and play as good as possible, but the most important thing is to win games."
United last won the Premier League title in 2012-13, Sir Alex Ferguson's last season in charge.