Spurs, Arsenal and Barcelona have all been linked to the Celta Vigo forward in recent days and West Ham fears they will be priced out of the battle for the in-form forward with his parent club said to be holding out for the minimum £44m release clause.
Although bookies have made West Ham the 7/4 favourites to land a deal with Gomez a senior club insider puts the Hammers chances as an outside chance of 5%.
Nearly 63% of Claret and Hugh readers want West Ham to still go all out to sign Gomez from a list of four targets with Aleksander Mitrovic coming second with over 17%,
Salomon Rondon was third on over 11% from 1,566 polled while just 8% wanted Moussa Marega.
Full results: 1,566 voted Gomez 985 (62.9%) Mitrovic 272 (17.37%) Rondon 178 (11.37%) Margea 131 (8.37%)