The Premier League side have become the latest club chasing the midfielder's signature.
An HITC exclusive earlier this month disclosed that Crystal Palace, Celtic, Aston Villa and Norwich were amongst the sides monitoring the 21-year-old's progress ahead of a potential move.
The Mail reports that the player has attracted £2m bids that have been rejected by the Royals, and while the report cannot name the clubs that made the offers, they do claim that they have not come from the Baggies or from Villa.
The club's technical director Nicky Hammond spent 16 years at the Madejski Stadium in various roles so will have a very strong idea of what Tshibola would bring to Tony Pulis' side were he to join.
However, Villa also have a strong connection to the midfielder with the club's new assistant boss, Steve Clarke being the manager that handed the youngster his professional debut nearly two years ago.
And with so many clubs reportedly chasing Tshibola's signature, it may well be that those kind of connections could become a key factor if the player has a decision to make in the near future.