Liverpool risk going second place during the week as they could only manage a 1-1 against West Ham on Monday night.
A Liverpool win could have seen them extend their lead back to five points, but the draw means Man City would go top if they beat Everton on Wednesday.
Javier Hernandez wasted a couple of chances for West Ham in the opening fifteen minutes of the game, but it was Liverpool who went ahead to score in the 22nd minute.
Sadio Mane put Liverpool in front at the London stadium after James Milner who was clearly offiside put in a low cross for Mane to convert.
But the Hammers were quick to respond with a goal of their own through Michail Antonio who ran around the Liverpool wall to pick up Felipe Anderson’s short free-kick pass for a finish into the far post.
The Hammers could have scored a second just before the interval but Declan Rice’ header sailed just narrowly over the net.
Neither side could grab another goal following the interval as they both failed to capitalize on some decent build up plays.
Mark Noble almost stole all three points for West Ham, his 73rd-minute drive flying narrowly over the bar.
The result sees Liverpool lead Man City by just three points but City could go top if they win away at Everton on Wednesday.
Liverpool would be looking to get back on track against Bournemouth at the weekend after dropping four points in their last two games.