Stoke City summer signing Andre Vidigal scored his third goal in two games by scoring a second-half winner as West Bromwich Albion suffered an EFL Cup first-round exit.
The Portuguese forward struck on 65 minutes to win from close range, just 60 seconds after Brandon Thomas-Asante had levelled for the Baggies.
Stoke had the better chances in a game that livened up after the break after Albion, who made nine changes, made a ruck of substitutions.
But the Potters were good value for their half-time lead, when Wesley's power forced Kyle Bartley into an error and his powerful low shot went in via the post and young keeper Josh Griffiths.