Leicester Tigers stand third in the table on 63 points ahead of the Good Friday trip to fifth-placed Harlequins.
“That race for the top four is going to be very, very tight,” says Tigers director of rugby Richard Cockerill.
“Northampton Saints still have their destiny in their own hands in second place with three games to go.
"But we have got to keep winning, the same with Bath. And Harlequins can gatecrash that.
“Bath still have to play Quins and Saints. We have to play Quins and Sale away and then Saracens in the last game.
"It’s all going to be very tight for the semi-final slots. No one will give them up lightly.”
The top four finishers go into the Aviva Premiership semi-finals, where first will play fourth at home and second will host third. The top six places qualify for the inaugural season of the European Rugby Champions Cup, with the seven-placed side facing a play-off against the seventh-placed team in France’s Top 14 league.
Aviva Premiership remaining fixtures:
Saracens (76 points): Newcastle Falcons a, Worcester Warriors h, Leicester Tigers a
Northampton Saints (66 points): London Irish h, Bath Rugby a, London Wasps h
Leicester (63 points): Harlequins a, Sale Sharks a, Saracens h
Bath Rugby (59 points): Worcester Warriors h, Northampton Saints h, Harlequins a
Harlequins (54 points): Leicester h, Exeter Chiefs a, Bath Rugby h
Sale Sharks (51 points): Exeter Chiefs a, Leicester h, London Irish a
Exeter Chiefs (40 points): Sale Sharks h, Harlequins h, Newcastle a
London Wasps (39 points): Gloucester h, Newcastle Falcons h, Northampton Saints a
Gloucester Rugby (37 points): London Wasps a, London Irish h, Worcester Warriors a
London Irish (31 points): Northampton Saints a, Gloucester a, Sale Sharks h
Newcastle Falcons (19 points): Saracens h, London wasps a, Exeter Chiefs h
Worcester Warriors (12 points): Bath Rugby a, Saracens a, Gloucester h