Last updated on 21 minutes ago.
Solskjaer has been at Manchester United since December.
TheSolskjaer is set to leave the club after Saturday's defeat.
It is believed that all the club's senior figures, including the owners, have discussed his future.
The terms for Solskjaer's exit would be agreed upon after the loss to the Hornets.
The technical director is going to take over for Tuesday's game.
It is possible first-team coach Michael Carrick could remain at Old United despite being part of a management team responsible for a terrible run of results during which United have won just four of their last 13 games and two of their last eight.
Some felt that the 48-year-old was lucky to survive after United suffered a record-breaking home defeat by the Reds and were beaten in a far more comprehensive way by Manchester City.
The club's hierarchy believed that Solskjaer could turn the situation around.
The manner of the performance and the red card for skipper Harry Maguire have changed the landscape.
If they fail to get at least a draw against Villarreal, United's senior figures were not prepared to risk a defeat.
They were the better team when they played at Old United in September, but they were beaten by a last-minute winner.
The loss against the Hornets was described by David de Gea as a nightmare.
The side was seventh in the league after a run of one league win in seven games.
Solskjaer replaced Jose Mourinho on an interim basis.
He was given the job full-time in March of this year and then signed a new deal in July of this year.
