Mourinho had reportedly fallen out with several of his first-team stars towards the end of his two-and-a-half-year tenure at the helm of United and Keane feels the behaviour of the players may be at least partly to blame.
The Champions League victor had an unhappy stint in charge of Cardiff City, but Solskjaer has established a promising reputation during his time at Norwegian club Molde.
The report claims that the club want to sign a central defender and a right-sided midfielder, and the funds would be available to sign the right players.
Roy Keane has slammed Manchester United's players for downing tools under Jose Mourinho, saying that the whole situation at the club is "a joke". It will take a minor miracle to ensure we have Champions League football next season and hopefully, we achieve that goal with some new signings in the winter window.
"I trust the lads to know what they're doing, to help the team".
"I only have gratitude for him". You have so many quality players that I want to get the best out of.
"Maybe I should get the hairdryer out of my pocket because I've got a hairdryer - when my hair needs lifting I use it on myself - but I am also not afraid of, if you like, laying down the law".
Sanchez dismissed the Sun's suggestion he had bet £20,000 with teammate Marcos Rojo, predicting Mourinho's demise, and thanked the former Chelsea and Real Madrid manager for bringing him to the biggest club in the world. The power is with the manager.
"With your kids, when they disappoint you, you tell them off, you don't then give them some chocolate, do you?" He picks the team, he picks the tactics, the strategy, the philosophy is in these walls.
Former Liverpool FC defender Lawrenson is confident Solskjaer will make a winning start to his Manchester United reign against Cardiff in Wales on Saturday.