The summer signing from Ajax has been limited to substitute appearances in his two Premier League outings so far, but has started two Carabao Cup games for the Red Devils.
The Dutchman provided a superb assist for Juan Mata to score his side’s second goal on Wednesday night, en route to a 3-0 victory over Brighton in the fourth round of the competition.
The 23-year-old has impressed his new manager and Solskjaer knows he is ready to start in the Premier League as soon as possible.
‘We know how many games we’re going to play this season and he’s going to be vital to us,’ said Solskjaer after the win at Brighton on Wednesday.
‘I think he’s proved in every game he’s been a part of that he’s got high quality.
‘He’s such a clever mover, he plays the game very simple but effectively, but with high quality, so of course he’s knocking on the door.’
Van de Beek has already proven his versatility early in his United career, playing as a number 10 and on the left wing on Wednesday night, while he can also operate deeper in central midfield.
Solskajer says he may well employ him on the left wing over the season and has praised the options he brings to the squad.
‘He has got a very high football intelligence,’ said the manager. ‘Tactically he has gone through the Ajax system and Dutch football is very tactical.
‘I think he can play in many different positions, which is a strength in a player. I can remember myself sometimes playing in the right wing, centre forward, 10 and I think Donny is one of those that the coach would want to have in the squad.’
United host Spurs at 4.30pm on Sunday.