Earps, who won the golden glove at this summer's Women's World Cup as England reached the final, was the tournament's standout goalkeeper - and that clearly hasn't gone unnoticed.
According to Sky Sports, the Red Devils received a world record offer for a women's goalkeeper for Earps.
The club that made the offer and the amount is not known.
Fellow England star Alessia Russo held the record for the biggest bid made for a female footballer - an offer of £500,000 from Women's Super League rivals Arsenal back in January.
However, the forward ended up moving for free this summer following the end of her contract.
MORE ON WOMEN'S FOOTBALL
Man United make cheeky dig at Nike amid U-turn on Mary Earps adidas shirt
Nike make U-turn in England goalkeeper Mary Earps shirt saga as they make pledge
Lionesses midfielder Keira Walsh is currently the world's most expensive female footballer, moving to Barcelona from Man City for £350,000 last year.
Earps has one year left on her current deal with the Red Devils.
Since signing from Wolfsburg in 2019, the Nottingham-born star made 96 appearances for the Women's Super League side.
She's also earned 41 England caps, winning the 2022 European Championships last summer, and was awarded The Best FIFA Women's Goalkeeper award in February, too.
Most read in Football
Saudi make stunning Salah offer, Greenwood update, Amrabat to Man United latest
Salah could get paid more than Ronaldo as Liverpool receive approach from Al Ittihad
Arsenal fan Laura Woods makes cheeky comment to James Maddison over Spurs transfer
Nike make U-turn in England goalkeeper Mary Earps shirt saga as they make pledge
The WSL returns on October 1, with Man United facing Aston Villa on the opening day. Meanwhile, the transfer window will remain open until September 14.
Aside from shining for England at the World Cup and saving a penalty in the final against Spain, Earps has also made headlines after Nike controversially did not sell her goalkeeper shirt this summer.
The decision received widespread backlash, and Nike have since performed a U-turn on their original decision.