Slaven Bilic, who currently holds the position, is under mounting pressure at the London Stadium having won just twice in the Premier League all season, with the 3-0 defeat to recently promoted Brighton the latest in a long line of poor results.
Last season, the Fulham boss was heavily linked by the national papers to the Hammers job after Bilic became under pressure at the back end of the season, although Jokanovic shrugged off suggestions and led Fulham to the Play-offs.
It's not been quite the same this season for the Serbian as Fulham have struggled to find that rhythm once again, but Sky Bet have him his at the 8/1 fifth favourite for the job, alongside Burnley manager Sean Dyche.
The favourite at the moment is Manuel Pellegrini, who is at 100/30, while Roberto Mancini (5/1), Carlo Ancelotti (11/2) and Newcastle manager Rafa Benitez (6/1) are just in front of Jokanovic in the odds list.
It remains unlikely, however, that Jokanovic would move to the London Stadium at this stage.