Manchester United boss Louis van Gaal did not offer to resign at the weekend, despite reports to the contrary.
Van Gaal, 64, was said to have told executive vice-chairman Ed Woodward he would be prepared to quit following Saturday's 1-0 defeat by Southampton.
Sources have told BBC Sport no such conversation took place.
Van Gaal returned to United's training ground on Tuesday as they begin preparations for Friday's FA Cup fourth-round tie against Derby County.
Woodward, meanwhile, has club commitments in London rather than north-west England.
United are maintaining their long-established position of refusing to publicly discuss Van Gaal's future.
The Red Devils have won just two of their past 10 Premier League matches and are five points behind fourth-placed Tottenham.
Van Gaal and his players were booed during and after Saturday's home game, in which they had just one shot on target.
Appointed as successor to David Moyes in 2014, Van Gaal is just over halfway through a three-year contract.
He took the team back into the Champions League in his first campaign but has been heavily criticised this season for both United's style of play and results.
Van Gaal's side were eliminated in the group stage of the Champions League and have failed to score a first-half goal in their past 11 home games.
Former chief executive David Gill, who is still a director of the club, said on Sunday the team have "underachieved".