The Red Devils are still hunting the Borussia Dortmund winger ahead of Monday’s transfer deadline.
But United are also looking at back-up options such as Barcelona’s Ousmane Dembele and free agent Edinson Cavani.
Solskjaer said: "I can't give you any news. We are working with what we have got. We have a big squad.
“We changed 10 players from Saturday. If there is any update, we will let you know.”
Asked specifically about Sancho, he added: “I don't comment on other teams' players. I can't concern myself with other clubs.
“I know the club is working well and hard to have a strong squad as possible. Sometimes speculation is there and we can't control that."
Solskjaer also hailed golden oldie Juan Mata - and then insisted the 32-year-old is staying at United.
Scott McTominay, Mata and Paul Pogba all scored to send Brighton spinning out but it was the Spaniard who most impressed.
And United boss Solskjaer was quick to dismiss any talk of Mata being shipped out before the transfer window closes.
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He said: “I’ve not had any discussions except about how he is going to play more and get in the team. We have not discussed that at all.
“His composure and experience, for a young team, Juan created more or less every moment in this game of the highest quality.
“He is a very valuable member of the squad and a top professional. It's never easy to tell him when he’s not playing.
“He has had a fantastic career, won more or less everything there is to, he is an example to the others of how to conduct yourself.”
Mata said: “I feel good physically and mentally and have a passion for the game. I have a lot of football left in my legs and my mind."
Brighton boss Graham Potter said: “It was an even first half. We were in the game. Really disappointed with the goal before half time. A cheap one.
“Dean Henderson's save at 1-0 was key. Then they bring on Marcus Rashford and Paul Pogba which made life difficult.”