Sky Bet make Jol 2/5 from 5/6 to leave Craven Cottage after another lifeless display left his side hovering perilously close to the relegation zone.
The firm's Chris Spicer said: "Owner Shahid Kahn has made very few changes to Fulham since his acquisition of the London club and he is likely to be growing tired of a dire set of performances by the first team."
Whoever is charged with guiding Fulham through the rest of the season faces a tough task according to the layers. They're now 2/1 for relegation, a price which makes them one of the three most likely to go down.
Crystal Palace remain long odds-on at 1/12 despite securing a hard-earned point against Everton, while Sunderland are 8/15 ahead of Sunday's clash with Manchester City.
Cardiff, who lost at Aston Villa, are just behind Fulham at 9/4 with Paddy Power while Norwich were eased to 11/4 after beating West Ham in the evening game.
That result could have an impact on which manager is next to leave, and Sky Bet certainly see it that way having eased Chris Hughton to 9/2.
At the other end of the table, Chelsea salvaged a point against West Brom but despite that are now third favourites for the title at 7/2, with City 7/4 and Arsenal 3/1.
And Spicer thinks that should Arsenal win and City fail to on Sunday, the Gunners could well head into the international break as Premier League favourites.
"Manchester City's position as favourites for the league has strengthened after Chelsea dropped points and Arsenal have made it to second in the betting for the first time this season," he said.
"A win tomorrow for the Gunners coupled with anything other than a City victory could see Wenger's side head the betting in the Premier League outright betting."
Finally, Luis Suarez scored twice in Liverpool's win and is now 2/1 for the Golden Boot. He's now joint-top scorer with Sergio Aguero (6/1) and team-mate Daniel Sturridge (8/1).
Liverpool meanwhile are 8/1 for the title and evens for a top-four finish.