Brighton, Crystal Palace, Leeds and West Ham have all been linked with January moves for the England under-21 international, as have German outfit Bayer Leverkusen.
Graham Potter remains keen to bolster his strike force and the club have also allowed Aaron Connolly to leave on loan to Middlesbrough and Jurgen Locadia has sealed a permanent move to Bundesliga outfit Bochum for an undisclosed fee.
It leaves Albion light on attacking options and many fans see Nketiah as the ideal solution.
Palace boss Patrick Vieira is also said to be a huge admirer and is keen to raid his former club to land the 22-year-old who has struggled for Premier League game time at Arsenal.
Scroll down and click through to see who is winning the race to sign the hotshot. Latest odds from betvictor.com
5. Everton
The Toffees need a spark but look out of the race for this one at 20/1
6. Newcastle
Yet another player linked with Newcastle but the bookies feel it's not going to happen. 16/1
7. Brighton
If any club needs a striker it's Brighton but the Seagulls seem to be drifting out of the race according to the bookies. 14/1
8. Leeds
Previously spent a season on loan at Elland Road. The Whites are second favourites at 12/1