The Algeria international is set to seal a move to the Hammers after his impressive performances last season
The 25-year-old delivered spectacular performances for the Bees in the 2019-20 season, scoring 17 goals in 43 league games to help the club reach the playoff final, where they lost to Fulham.
Algeria’s attractive international screenings have attracted interest from a number of Premier League clubs, including Chelsea and Arsenal.
The striker failed to get his dream into the English top flight, however, before the end of the main transfer window.
The forward is now hoping to reach personal terms with the Hammers before the domestic window between the Premier League and EFL clubs ends on Friday.
Benrahma moved to England in the summer of 2018 when he teamed up with Brentford from Ligue 1 from Nice.
The forward has since scored more than 27 goals in all competitions for the Bees since joining the club.
Benrahma, who has four caps for the Algerian national team, is currently on international duty with the North Africans and participated in their 1-0 victory over Nigeria in Austria on Friday.
He is also expected to play a role when the African champions face Mexico in their second friendly on Tuesday.
Benrahma hopes to settle his career when he returns to England after the international break.
If his move to West Ham were successful, the forward would team up with Democratic Republic of Congo international Arthur Masuaku at the club.
The Hammers narrowly escaped relegation last season after finishing 16th in the Premier League.
In the current campaign, David Moyes’ men have won two games and lost two games in fours to place 10th.