The Red Devils sealed their place in the EFL Cup quarter-finals by beating Brighton at the AMEX on Wednesday.
But having signed just one player this summer, Solskjaer could not avoid questions about United's transfer activity ahead of the October 5 deadline.
He 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.
"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."