United are in the quarter-finals of the Europa League and favourites to win it, but Solskjaer's future is not dependent on lifting the trophy.
The Old Trafford hierarchy, led by executive vice-chairman Ed Woodward, are convinced United remain on the right path under Solskjaer.
Solskjaer, 48, who has one year left on his current deal, is set to be awarded a new three-year contract, likely to be two years plus the option of an extra one.
Under the terms of the new deal, Solskjaer is likely to see his salary rise from £7.5million to £10m-a-year, to reflect the progress made under him since being put in permanent charge almost two years ago to the day.
United do not want the distraction of Solskjaer entering the final year of his contract with his future unresolved, so the new deal is likely to be confirmed at the end of this season.