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.
The visitors Coventry City took the lead in added-time in the first half when Viktor Gyökeres scored.
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 through three games.
In the next round on Saturday, Blackpool face Bournemouth away at Vitality Stadium, while Coventry host Reading.