The Tigers squandered a number of chances in the first half and were made to pay after the break as Nacer Chadli and Danny Rose found the net to hand Spurs the win that leaves Steve Bruce’s men two points adrift of safety.
Hull will need fortune on their side if they are to avoid the drop in next weekend’s final round of fixtures.
They will have to beat Manchester United at home and hope Newcastle do not win at home to West Ham, otherwise Hull will join QPR and Burnley in the Sky Bet Championship next year.
The Magpies threw away a good chance to put distance between themselves and the bottom three as they lost 2-1 at QPR.
Emmanuel Riviere put Newcastle ahead with his first league goal for the club, but Matt Phillips and Leroy Fer found the net for Rangers to leave the Toon Army fretting about next weekend’s game.
Leicester completed their great escape as they drew at Sunderland to secure their Premier League status.
The Foxes looked doomed in March, but a run of one defeat in eight matches means they are safe with one game to go.
Sunderland are three points above the relegation zone, but one point from their remaining two games will see them safe. The fact that those games are at Arsenal and Chelsea means the Black Cats are still very much in the relegation dogfight, however.
Steven Gerrard was unable to lead Liverpool to victory on an emotional final outing at Anfield against Crystal Palace.
Gerrard was given a guard of honour when he walked on to the pitch with his three daughters and everything went to plan for the Liverpool captain when he watched his team-mate Adam Lallana give the hosts the lead in the first half.
Palace gatecrashed the party though, with Jason Puncheon, Wilfried Zaha and Glenn Murray all finding the net to give the visitors the win that ended Liverpool’s faint hopes of Champions League qualification with one match to go.
Aston Villa are safe despite a 6-1 drubbing at Southampton in the lunch-time kick-off.
Sadio Mane scored the quickest hat-trick in Premier League history, Shane Long bagged a brace, and Graziano Pelle also found the net while Christian Benteke was on target for the visitors, who are four points above Hull.
Everton came from behind to beat West Ham at Upton Park. Leon Osman cancelled out Stewart Downing’s opener before Romelu Lukaku grabbed all three points for the Toffees with a stoppage-time winner.
Burnley and Stoke played out a goalless draw in Saturday’s other match.