Sky Bet moved them into 7/4 on Saturday, a price which makes them joint favourites alongside Manchester City, as their title rivals continued to stumble.
City were held to a 1-1 draw at Southampton, Chelsea lost 3-2 to a late goal at Stoke and Manchester United's woes went on as they went down 1-0 at home to Newcastle.
Arsenal entertain Everton on Sunday when victory would take them seven points clear at the top.
Chelsea are 9/2 after losing late on at the Britannia Stadium, while Liverpool, who sit second after thrashing West Ham 4-1, are 8/1 shots.
United are way out at 28/1 after losing back-to-back home games in the league for the first time since May 2002.
Newcastle's win, achieved thanks to Yohan Cabaye's second-half goal, was their first at Old Trafford since 1972.
Manager David Moyes will now be under further scrutiny and he's 9/4 with Sky Bet to leave his post before the end of May. The former Everton boss, who only took charge of his first competitive game at United in August, is 1/3 to still be place come June.
Even a top-four finish - and Champions League football - now looks in doubt. They are now 11/8 to finish in the top-four with the Leeds-based firm.
City, Arsenal, Chelsea and Liverpool are now all odds-on to finish in the Champions League places, the latter are into 4/5.
Tottenham won 2-1 in the Saturday Night Football clash against Tottenham and remain 50/1 to win the title and have been trimmed to 9/4 for a top-four spot.
It was a good day for Crystal Palace and Norwich at the other end of the standings.
The Eagles are still odds-on for the drop at 2/7 with Sky Bet despite the resurgence under new manager Tony Pulis.
Cardiff were beaten 2-0 at Selhurst Park on Saturday and Malky Mackay's men have been cut to 11/4 for the drop.
Norwich won 2-0 at West Brom and the Canaries have been pushed out to 5/2 to go down. The Baggies can be backed at 10/1.
Sunderland and Fulham remain odds-on to be playing in the Sky Bet Championship next season with Hull joining Cardiff as 11/4 shots.
West Ham are 9/2 to finish in the bottom three.