The Premier League's loan rules will prevent Jesse Lingard featuring for West Ham against his parent club at Old Trafford on Sunday.
Lingard has been a revelation with the Hammers - and has already scored more league goals (four) in six appearances for the club under David Moyes than the three he managed in over two years at United with Solskjaer as his manager.
"It's really worked out for Jesse and it's worked out for us as a club as well," said Solskjaer.
"We know Jesse's position is as a number ten and we've got Bruno there so for me it was a no-brainer to get Jesse a chance to prove himself and play some football again.
"He has been really bright for them and he is finally back to himself."