The United manager has never been under more pressure following their humiliating 5-0 defeat to Liverpool on Sunday.
Pochettino has been linked with the job in the past but has been managing Paris Saint-Germain since January.
Mauricio Pochettino (right) is reportedly still Manchester United's top choice if they decide to sack Ole Gunnar Solskjaer
The Daily Star have reported that United still consider Pochettino to be their top choice despite the fact he already has a top job.
It's said that United originally wanted Solskjaer to 'bridge to the gap' between Jose Mourinho and Pochettino at Old Trafford.
That was until United's memorable win over PSG in the Champions League in 2019 helped earn the interim boss the job permanently.
The United boss will be given more time despite Sunday's embarrassing defeat,