Chelsea will end the day in third place thanks to a 4-1 win at home to Wigan.
Ramires, Eden Hazard, Frank Lampard and Marko Marin with the goals.
Arsenal remain four points of the Champions League places after a 1-0 win away to Sunderland
Santi Cazorla scored the winner for the Gunners who finished with 10 men after Carl Jenkinson was shown a second yellow.
Jack Wilshere limped off for Arsenal in the second half as Arsenal remain four points off the Champions League places.
Swansea beat bottom side QPR 4-1 at the Liberty Stadium
Michu scored two while Angel Rangel and Pablo Hernandez were also on target to increase the pressure on Harry Redknapp.
Stoke beat Reading 2-1 at the Britannia Stadium thanks to goals from Robert Huth and Cameron Jerome.
Struggling Norwich and Fulham played out a goalless draw.