Steve Bruce had made the young forward a huge priority, but the Baggies faced competition from up to ten other clubs for his signature.
Albion are back in the transfer market for a striker - after £7 million January signing Dike suffered another injury set back and faces at least two months on the sidelines with a thigh tear.
But Delap is now set for a medical at Stoke after City rejected a reported £15m permanent bid for the striker from Southampton.
Liam's father Rory is currently first team coach at Stoke following his successful playing days there, so it comes as not surprise that the 19-year-old is now heading to the Bet365 stadium.
Albion's striker search continues with the club desperate to kick-start their season with play-offs the minimum target.
The transfer window closes on September 1 at 11pm.