ESPN says Ibrahimovic is being lined up for a sensational return to Old Trafford to link up with Mourinho.
The under-fire Portuguese boss wants the 37-year-old to spearhead his stuttering United attack.
The goals have dried up for Romelu Lukaku, while Alexis Sanchez's form has been much maligned this season.
Mourinho now wants to bring the LA Galaxy forward back to Manchester on loan for the remainder of the season.
MLS players are well know for joining Premier League clubs after their season finishes, with Landon Donovan often linking up with Everton . Theirry Henry also rejoined Arsenal on loan from New York Red Bulls.