"The next stage is to now talk to the player, which we have been given permission by West Brom to do."
Finally, a transfer target has been bidded for and Stoke look to stregnthen their attacking options.
West Brom manager Bryan Robson said: Stoke City have been keen to sign Rob for some time and their latest offer has now matched our valuation."
Hulse joined Albion in 2003 but has made just five substitute appearances during their Premiership campaign.
The baggies boss added: "I feel Rob needs first-team football to go forward in his career and as we've now got Robert Earnshaw, Kevin Campbell, Geoff Horsfield and Kanu ahead of him in the squad his opportunities will be limited.
"It is a very good offer from Stoke and good business for Albion."