The Russia international has emerged as a target for the Hammers this season.
Metaratings via Sport Express says the Irons are eager to find a young shot-stopper to offset veterans Lukasz Fabianski (35), Darren Randolph (33) and David Martin (35) - and Maksimenko is under consideration.
Here we have just released footage from the Russian Premier League of the best of Maksimenko so far this season. Does he have what it takes to make it in England?
Watch below (and for more videos click here):