The Independent says United players are already talking about Pochettino taking over, with reports claiming that some members of the squad believe he will replace Solskjaer next summer.
Pochettino is now eyeing a return to management after being sacked by Tottenham two weeks ago.
The Argentine is already making his move on United after declaring he is keen on returning to an “attractive project" in Europe.
Old Trafford chiefs are aware that Pochettino is flirting with the job and the report claims that the players at the club are already talking about it.
A few of the squad already believe that a deal could be set up for Pochettino to take charge of United next summer.