The 22-year-old Uruguay international will cost €50m if he is to leave the La Liga outfit for the Premier League. With Marko Arnautovic, 29, unsettled by the interest of Chinese Super League club Guangzhou Evergrande Taobao earlier this month, the Hammers are making plans to ship the Austria international out of the club as soon as their £45m valuation is met.
Gomez has 26 goals in his 54 La Liga appearances since moving to Vigo in 2017. This season, he has already netted 9 in 19 league matches as he plays the second season of a five-year deal.
A move to the English game would continue his meteoric rise in the professional game. He made his professional debut in October 2015 with Defensor Sporting in his native Uruguay.
The striker also earned his first international cap for his country after moving to Spain. He debuted against Poland in 2017 and has been an ever-present in the squad ever since. To date, he has 9 caps but is still awaiting his first goal for Uruguay.
If the deal goes through, it will smash the £36m West Ham paid to Lazio for Brazil international Felipe Anderson last summer.