The Hammers are facing a striker crisis just a day before their Premier League season starts against Arsenal, with Andy Carroll still injured and Enner Valencia now facing 12 weeks out having sustained an injury against Astra Giurgiu last week.
New manager Slaven Bilic confirmed to the Daily Mail on Friday that a deal for Atletico Madrid's Raul Jimenez is close to completion, but the Hammers could still look for another forward.
Sky Italia's Di Marzio reports that West Ham were interested in a deal for Liverpool outcast Fabio Borini, who looks set to leave Anfield after a dismal three-year spell under Brendan Rodgers.
The Italian, 24, has struggled at Liverpool, and Di Marzio reports that West Ham had an interest in signing the former Chelsea youngster - but the Hammers' elimination from the Europa League now means that a deal is unlikely.
Thursday's defeat at the hands of Astra Giurgiu means that Bilic's men have been knocked out, costing West Ham some additional funds, which has caused the Hammers to cool their interest in Borini.
The deal for Jimenez may have prompted West Ham to end their interest in Borini anyway, but the elimination from the Europa League seems to have made any move for the Italian unlikely now.