Martinez’s side could find themselves bottom of the league on Wednesday night if they lose against Liverpool and other results go against them.
The Latics have not won in four games and have only one victory in their last eight games, a run that will have fans worried about where their season is headed.
It is not easy to see where Wigan’s problems lie, as a meagre goal tally of just eight is the lowest in the Premier League.
However, Wigan picked up their first win in ten Premier League games against Liverpool when the side’s last met in March.
Liverpool’s new owners have witnessed a transformation in the club’s fortunes since their takeover.
Three league wins in a row for the first time in 14 months has lifted the Anfield club into the top half of the table, and appeared to quieten speculation about Hodgson’s future as manager.
However, Liverpool fans will not be over-confident going into the game against Wigan as their side have a miserable recent away record, managing just two away league wins in the whole of 2010.
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Wigan Athletic
Defender Steve Gohouri will miss the game through suspension as he picked up his fifth yellow card of the season against Blackburn on Saturday.
Manager Roberto Martinez will therefore have a dilemma over who to play at right-back as Emerson Boyce is still a week away from returning.
Midfielder James McCarthy is still recovering from an ankle operation following an injury he suffered against Bolton Wanderers.
Possible starting XI: Al Habsi; Stam, G. Caldwell, Alcaraz, Figueroa; Diame, Thomas; Moses, Gomez, N'Zogbia; Rodallega
Liverpool
Manager Roy Hodgson is likely to keep his side unchanged after their outstanding victory over Chelsea on Sunday.
After impressing against the champions, Martin Kelly should keep his place at right-back, especially as Glen Johnson is still struggling with a groin problem.
Fellow defender Sotirios Kyrgiakos could return after tonsilitis but Daniel Agger (calf), Fabio Aurelio (groin) and Joe Cole (hamstring) remain out.
Possible starting XI: Reina; Kelly, Carragher, Skrtel, Konchesky; Lucas, Meireles; Kuyt, Gerrard, Maxi; Torres