The Hammers have been linked with a temporary move for the England international as Sam Allardyce steps up his plans to keep the East London side clear of relegation.
Lescott is rumoured to be open to a switch to Upton Park in a bid to play regularly and keep his World Cup dreams alive.
But, West Ham are far from keen to stump up his £90,000-per-week salary.
The club are reluctant to commit to such a sum, with the financial worries associated with a potential drop to the second tier weighing heavy.
They may be more open to a deal if City agree to subsidise their man’s pay for the remaining half of the campaign.
However, their reluctance to commit may leave the door ajar for the likes of Aston Villa and Fulham.
Lescott has been offered a lucrative deal to move to Turkey by Besiktas, but it is understood that he is disinclined to do so win the build-up to the World Cup.