Borussia Dortmund winger Jadon Sancho remains his top target, although a fee could prove difficult to agree due to United’s reluctance to spend in excess of £70million on one player.
Aston Villa captain Jack Grealish and Ajax midfielder Donny van de Beek are also on Solskjaer’s wanted list.
And the Norwegian revealed he is placing an emphasis on signing players with “a certain DNA and identity”.
“I’m very old school in my values. I’m not going to rant and rave. I’d rather open the door or close the door. Either in or out,” he said.
“Players who want to sign if they don’t feel right as a person you close the door, players who are inside who don’t feel right and don’t want to contribute to the team ethos and have the betterment of the team at heart then you open the door and let them leave.
“It’s a constant process. Whatever you do every day, that will decide if you’re going to be part of Man United or not. I hope and believe I will always stay true to my principles and values of that.”
The United boss added: “It’s going to be a strange transfer window and I don’t expect a lot of big transfers maybe. I don’t know.
“We don’t really know how the market is going to be. For us as a team, club and staff, we need to work really well. It’s about the consistency.
“I’m not just talking about decisions off the field – it’s also here in and around the training ground.”
United can climb to fourth place – for the time being – if they beat Bournemouth in this afternoon’s Premier League clash (3pm).
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