Even though they've already signed Tom Heaton and Jadon Sancho, and have an agreement in place to sign Raphael Varane, Solskjaer wants more.
The Glazers are suddenly serious about the club, and they're sanctioning deals for the 48-year-old to prove it.
And now, according to Eurosport's Dean Jones, United have a deal for Neves "reasonably down the line," while Saul Niguez isn't on their radar.
“I just haven’t heard a lot about Saul Niguez personally,” he told The Football Terrace podcast.
“So it’s hard for me to asses that one. So i’d say because of the information I’ve had, and it all depends on your sources, I know for a fact that they do like Neves, that they’ve been working on it in the background and it’s reasonably far down the line.
“And if they do want to progress with it they can, because the foundations have been laid.
“I don’t know about Saul Niguez, how much weight there really is behind that so it’s difficult for me to judge.
“There’s enough out there to believe there’s some substance to it but I’m sceptical because it’s Saul Niguez, this has happened a few times.”
Arsenal had hoped to sign Neves as a possible replacement for Granit Xhaka.
However, United appear to be the frontrunners in the race to sign the Wolves star, who has shone in the Premier League over the last two seasons.