West Ham management are seeking the players' opinion of manager Manuel Pellegrini as they consider swinging the axe.
The Daily Mail says the Chilean's position as head coach is under threat following Monday's 3-1 home defeat by Arsenal — a result that leaves West Ham one point above the Premier League relegation zone.
It is understood the club's hierarchy, including co-owners David Sullivan and David Gold, discussed Pellegrini's future on Tuesday as they consider making a change.
Saturday's showdown against struggling Southampton will be key to Pellegrini's future and defeat could signal the end of his reign at the London Stadium.
The board are keen to gauge opinion from key squad members before making a final decision.