The Red Devils boss is looking to overhaul his squad this summer and appears to be taking pointers from his former co-stars.
United boss Solskjaer is said to be considering Stoke defender Nathan Collins, on the advice of Old Trafford hero Darren Fletcher.
And the Norwegian has also been urged to sign Swansea star Daniel James by Giggs.
The Wales boss handed the Championship youngster his first cap earlier in the season following his strong club form.
And the Sun on Sunday report Giggs has recommended James as a good signing for United this summer.
Reports last week suggested a £15m move was in the offing.
But Swansea are likely to stage a bidding war due to interest from Leeds, Newcastle and Everton.
James has impressed this season – and Wales legend John Hartson thinks the 21-year-old should be allowed the chance to shine at Old Trafford.
“In recent years, Swansea have sold a complete team. Influential players like Lukasz Fabianski, Federico Fernandez, Gylfi Sigurdsson and Wilfried Bony have all gone,” he told the Daily Mirror.
“If they are offered in excess of £20m for Daniel, then it’s difficult to turn down. It would also be hard to deny the boy the opportunity of playing for a Manchester United.
“He was very close to going to Leeds on the final day of the January transfer window for £10m. But I believe Swansea pulled the plug on the deal at the last minute because they thought, at that price, it was a steal.
“The transfer was almost over the line. I believe his parents were at Elland Road with the lad, but Swansea then told Leeds the deal was off.
“It wasn’t very nice for Daniel because he had probably pinned his hopes on joining Leeds, who then looked like they were on their way to the Premier League.
“The way things have developed could be better for both Swansea and the player. From the club’s point of view, the transfer fee will at least be doubled – while Daniel could join one of the Premier League’s top clubs.
“Ryan Giggs, the Wales manager, obviously believes in him. That was fantastic for his confidence.”