The Times says Solskjaer has informed the United board he needs six new players to turn the sinking ship around at Old Trafford.
Solskjaer has his eye on a full-back, two central midfielders, a number 10, a winger and a forward to lead his depleted front line.
The report adds that the United board has vowed to back Solskjaer and will give him the money required to sort things out this season.
United's biggest problem this January has been trying to sign players for a fair price.
The Red Devils' move for Bruno Fernandes appears to have collapsed for this very reason, with Sporting CP pricing United out of a deal.
United wanted to pay no more than £50million up front for the Portugal international, with Sporting looking for a fee closer to £70million.