The Red Devils missed out on the Norwegian goalscoring sensation in January last year, with Borussia Dortmund winning the race to secure his signature from Red Bull Salzburg.
But Haaland continues to be heavily linked with a transfer to United, having worked with manager Solskjaer during their time together at Molde.
The Red Devils chief has made no secret of his admiration for the 20-year-old hitman – and his latest comments will no doubt excite United fans.
Speaking ahead of Thursday’s Europa League clash with Real Sociedad, Solskjaer said: “I think when you have had kids and players through as a coach you follow them.
“I keep in touch with Erling – it is great to see him become the player he has become.
“He is a Dortmund player and we wish him well there. Let’s see what life will bring later on.”
He added: “You know I can’t speak too much about Erling – it’s disrespectful to say more than I know him and speak to him.
“Who wasn’t interested in him a year ago? For me in our recruitment we have done well.
“The signings we have made since I came to the club have all contributed. We have to compliment what we already have with other players. I am happy with our model.”
Earlier this month, Solskjaer admitted he is “following” the progress of Haaland at Dortmund.
Speaking to Norwegian outlet VG, Solskjaer was asked about Haaland’s progress and whether his relationship with the 20-year-old means a switch to United could be on the cards.
“Erling will have a fantastic career,” Solskjaer replied. “I’m following Erling. I’ve always said that.
“Was it 18 months we had together or something? Almost two years, maybe. A wonderful time. He will definitely have a great career for both Norway and his club.
“He is doing incredibly well for Dortmund, so we’ll see where he ends up. As a Norwegian and someone who has worked with him, it is of course fun that he does so well.
“We will do what we can to become a better team, then he will do what he can to become a better player.
“Where does he end up? I do not want to say anything other than that, that I wish him all the best. Which choice he makes may be up to him.”