Ole Gunnar Solskjaer is under pressure at Old Trafford after an unconvincing 2019/20 campaign so far.
United needed penalties to edge past Rochdale in the Carabao Cup on Wednesday, just three days on from their 2-0 defeat to West Ham in the Premier League.
And while the board has backed the Norwegian for now, the outlet believes Pochettino is a tempting possibility for them.
The Argentine is also struggling currently after seeing his side knocked out of the League Cup on penalties by Colchester on Tuesday.
The manager is said to have clashed with Danny Rose, Toby Alderweireld, Jan Vertonghen, Kyle Walker-Peters, Eric Dier, Lucas Moura, Dele Alli and Christian Eriksen as tensions grow in the dressing room.
He signed a new five-year contract with Tottenham last summer that didn’t include any buyout clause, meaning that any interested suitors would have to pay out the rest of his £8.5m per season deal in full, which has just under four years left to run.
Another potential stumbling block is the relationship between the two clubs, as the sales of Teddy Sheringham, Michael Carrick and Dimitar Berbatov to the Red Devils in the past have resulted in a fractious relationship.
Spurs chairman Daniel Levy has already rejected an official approach from Real Madrid and an unofficial bid by Chelsea for his manager as he remains determined that Pochettino is the man to lead the club forward.
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