However the Yorkshire side have played one game fewer than the Hammers, and should they win that game in hand the six-point gap would be back.
Liverpool 2-1 Charlton Athletic
Two late goals for Liverpool left them one point of the Champions League after coming back from a goal down against Charlton.
Sami Hyypia and Steven Gerrard netted the vital late goals for the home side, after Shaun Bartlett put the visitors in front.
Chelsea 3-1 Everton
Chelsea jumped above Newcastle into third place in the league with a comfortable win against Everton at Stamford Bridge.
Eidur Gudjohnsen, Jimmy Floyd Hasselbaink and Jesper Gronkjaer scored for the home side, with Lee Carsley bagging a consolation for Everton.