Cresswell, 25, joined the Hammers from Ipswich last summer, and transitioned to the Premier League seamlessly, becoming one of West Ham's most consistent performers this season - and even being touted for an England call-up by many.
Yet those exploits in East London have triggered alleged interest from bigger clubs, with Chelsea and Manchester City both recently linked with moves for Cresswell by the Daily Mirror.
After just one year at Upton Park, West Ham will not want to lose their star left back, but the Daily Mail believe a bid of £20m could lure him away this summer - and the Hammers hierarchy have already lined up his replacement.
Mings, 22, ironically replaced Cresswell in Mick McCarthy's Ipswich side this season, and has been one of the emerging stars of the Championship season.
The 6ft 5in left back was previously on the books at Southampton and Bristol Rovers, and after spells in non-league football with Yate Town and Chippenham Town, Ipswich took a gamble on him in 2012 - and their faith has certainly been repaid.
The Sun recently suggested that Aston Villa boss Tim Sherwood wanted to sign Mings this summer, but now he could be offered the chance to replace Cresswell for the second time in 12 months - if the latter does leave Upton Park this summer.