United are still believed to be in hot pursuit of Borussia Dortmund’s Jadon Sancho, while there is also interest in Real Madrid left-back Sergio Reguilon.
Van de Beek cost United £35.7million, but Solskjaer has admitted United would not be spending as much as Premier League rivals Chelsea.
However, the Red Devils are still hoping to do some business this summer if they can identify the right players.
“We are always looking to see if there is any way possible that we can improve this squad and bring players in that will have the right level, quality, personality and fits all the criteria,” Solskjaer told BBC Five Live.
“This summer and year has been a strange one and it is very important everyone understands this has an affect on football.
“It is never easy to have too many new players in the team, it takes time for players to gel into a unit.”
