But the bookies claim Leicester are no threat to Newcastle United ... who they currently have 66/1 for the drop.
It would take a bizarre sequence of results to relegate Newcastle, and a win over Tottenham today would put them safe.
Nigel Pearson's side moved up two places to 18th with their seventh victory of the campaign, three of which have come in April.
Now out to 15/8 for the drop with Sky Bet, the Foxes are 4/9 shots to survive - a reflection both of their current form and a run-in which includes games with QPR, Burnley, Sunderland and Newcastle.
Burnley's 1-0 defeat at Everton saw them fall to the bottom of the table and they're 4/11 for relegation and 9/4 to survive. They face Leicester at Turf Moor next and do have what looks a kind run-in, with 10th-placed West Ham the highest-placed side still to come.
QPR have to travel to both Liverpool and Manchester City and remain long odds-on for relegation at 1/7, but West Brom went out to 66/1 with victory at in-form Crystal Palace.
The layers expect either Hull or Sunderland to join QPR and Burnley in the Sky Bet Championship next season, with them priced at 4/5 and 10/11 respectively for relegation.
Chelsea meanwhile all but sealed the title as they beat Manchester United 1-0. Eden Hazard was once again the star for Jose Mourinho's side, securing man of the match honours.
In the FA Cup, holders Arsenal needed extra-time to see off Reading but eventually came through to reach the final, and Sky Bet make them 8/13 to lift the trophy.