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.
Despite victory over Tottenham in the EFL Cup a few days later, the Hammers drew their next Premier League match against Crystal Palace and were then thrashed by Liverpool.
Bilic’s side have won just two Premier League matches this season and have lost three of their past four games at London Stadium.
Former Hammers manager Sam Allardyce told Match of the Day on Saturday that it “wouldn’t surprise him” if Bilic was sacked.
Bilic, 49, replaced Allardyce in June 2015, and led the side to seventh place in his first season in charge.
But an 11th-placed finish last term, their first at London Stadium, has been followed by a poor start this season.
Moyes’ most recent managerial job was at Sunderland – he resigned after they were relegated to the Championship in May.
West Ham’s next match is at Watford on Sunday, 19 November.