The Hammers are determined to add a dominant, physically imposing presence to their defence and recruitment chiefs have identified Fry as the ideal candidate.
Fry’s contract with Middlesbrough is set to expire at the end of this month, meaning the towering 6-foot-4 defender could join West Ham as a free agent.
However, Middlesbrough are keen to retain their captain and have held several rounds of talks over a new deal, but no agreement has been reached.
With negotiations stalling, West Ham are ready to pounce and give Nuno Espirito Santo a strong start to the transfer window.
Fry enjoyed an impressive campaign last season under Kim Hellberg, making 37 appearances in all competitions and scoring three goals.
He anchored the Boro defence through their run to the Championship play-offs, playing the full 90 minutes in their narrow final defeat to Hull City.
His 88% passing accuracy highlights his comfort in possession, while a 68% duel success rate at 4.5 per game indicates he is no slouch in the air or on the ground.
With loanee Axel Disasi and out-of-favour Jean-Clair Todibo both expected to depart, West Ham have an opportunity to upgrade their defensive unit.
Signing the ‘outstanding’ Fry on a free transfer would also free up funds to address other areas of the squad. The Hammers, however, will face competition for his signature.
Relegated Burnley are also monitoring Fry, while Blackburn Rovers are poised to register their interest.