Hitman Thomas-Asante has been generating interest as the end of the transfer window approaches.
Stoke have had bids for him rejected this summer, while Leeds are claimed to be exploring a deadline day beating swoop for his services.
West Brom are thought to value Thomas-Asante at the £5m mark and it does not appear anyone has come close to meeting that valuation.
The Baggies are not anticipating any departures from their senior players before the window closes.
They appear to be well on course to keep hold of Thomas-Asante, which will delight boss Carlos Corberan.
West Brom could make an addition however as they are working on a deal to sign a right-back.
Corberan would like another right-back option and West Brom are trying to deliver for him before the window shuts.
