The first-half goal from Gyökeres was the only goal of the game. Coventry City won 1-0 (1-0) away to Blackpool in the Championship.
Coventry City took the lead in added-time in the first half when Viktor Gyökeres found the net.
The game was the fourth in a row without a win for Blackpool.
Blackpool have two points after four games, while Coventry City have six points in three games.
In the next round on Saturday, Blackpool face Bournemouth away at Vitality Stadium, while Coventry host Reading.