A source tells GiveMeSport that the Hammers are still interested in signing Arsenal's 22-year-old midfielder when his contract expires in the summer.
The Hale End graduate had also played just 66 minutes in the Champions League this season under Mikel Arteta.
While The Gunners have rotated their teams to rest the first team, Nketiah has gotten most of his minutes in the cup. However, he has scored five times in the EFL Cup in this manner, with such a hat-trick against Sunderland becoming his most notable game.
It is likely that West Ham will look to bolster their attacking options by replacing Michail Antonio with an equally capable but more expensive alternative. Nketiah would be a great addition to the bench and the depth of the club.
When allowed a run of games, he has shown himself to be an instinctive finisher and would therefore be a superior backup option to Andriy Yarmolenko.