The 19-year-old made his senior debut for the Hammers last year in an 8-0 Carabao Cup demolition of Macclesfield Town, and has been spending more and more time around the first team set up.
And Inkersole believes that it is only a matter of time before the youngster is given a taste of the top flight.
Writing in a piece for Football.London, he said: “Coventry made his senior debut against Macclesfield Town last year too and has been in and around the first team training sessions at Rush Green for some time.
It is surely only a matter of time before Coventry is given the nod in the Premier League. Aside from being extremely talented, the youngster also plays in a position that could do with some serious reinforcement for the Irons. That role just in front of the back four, shielding the defence, is looking a bit flimsy at the moment, and the absence of Mark Noble alongside Declan Rice has been keenly felt. The introduction of somebody like Coventry into the side, able to cover ground and make challenges when needed, would ease the workload on Rice when Noble isn’t available, and could potentially pave the way for a future partnership. The club themselves describe the teenager has having an “all-round” game, and that versatility and willingness to put in the hard yards could make him an important contributor to the Hammers at some point this season.