If we look at the remaining fixtures in comparison to Spurs (I'm not saying Everton are out of the race).
Spurs:
Norwich A
Cardiff H
Chelsea A
Arsenal H
Southampton H
Liverpool A
Sunderland H
WBA A
Fulham H
Stoke A
West Ham A
Aston Villa H
Liverpool:
Swansea H
Soton A
Sunderland H
Man United A
Cardiff A
Tottenham H
West Ham A
Man City H
Norwich A
Chelsea H
Crystal Palace A
Newcastle H
We have two, what should be tough, away fixtures in Southampton and United. We also have 2 very tough home fixture when Chelsea and City visit, there is also the game against Spurs at home which will be very important. Spurs in comparison have 4 difficult away matches in West Brom, Stoke, Liverpool and Chelsea and a derby game at home to Arsenal. If we beat them at Anfield, we should get 4th place.