It was a positive response from the 2012 champions, who had drawn 2-2 with Sunderland on Wednesday, and Pellegrini was pleased to see them place a little bit more pressure on the Reds who have won their past 11 league outings.
"We made a very good first 45-minutes," Pellegrini told Sky Sports.
"We scored three-goals and had more chances to score - maybe the goal made us a bit nervous, and the second-half we were not so clear with the ball but we kept the result and that was the important thing.
"It [title race] is the same way before we played it, but we have three points more - if Liverpool win their three games and 14 games in-a-row they are champions, but our job is to win our games and Liverpool will feel some pressure.
"It is always difficult to finish the season and we just have to do our work."
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