David Moyes says he would be interested in becoming West Ham manager, with the future of current boss Slaven Bilic set to be decided in the next 48 hours.
BBC Sport understands the Hammers have already held talks with ex-Everton and Manchester United manager Moyes.
Speaking to Bein Sports, the Scot denied there had been contact, but said he wanted to return to club management.
West Ham are one point above the Premier League relegation zone after Saturday's 4-1 defeat by Liverpool.
Bilic acknowledged after the game that he was under "big pressure" and in a "very difficult" situation.
Moyes said: "I've always said I want to go back into club management. If the right opportunity comes around, I'll be interested."
Asked about West Ham, the 54-year-old said: "I am interested but at the moment that vacancy has not become available. I know what Slaven must be going through."
Bilic's position was discussed in October, but the club's owners opted to give him more time to improve results.