In the 50th minute of the third-round encounter, Nicolas Jackson scored to give Chelsea its first victory in four games across all competitions and set up a meeting with Blackburn Rovers in the round of 16.
Mauricio Pochettino, manager of Chelsea, said his players "fully deserved" Wednesday's 1-0 League Cup victory over Brighton & Hove Albion and expects the outcome will improve the club's sputtering Premier League season.
Nicolas Jackson's goal in the 50th minute of the third-round encounter gave Chelsea their first victory in four games across all competitions and secured a meeting with Blackburn Rovers in the round of 16, which will take place the week of October 30.
Chelsea has only managed five goals in the competition and is now in 14th place in the league after six games with one victory, two draws, and three losses.
The team's response was commendable. Once again, I'm really happy with the performance," Pochettino remarked. "I'm glad about the win... Today had to be a victory.
We completely deserved the victory after dominating the game in the second half. Building our trust and momentum while competing is crucial, in my opinion. Hopefully, we can go on with this momentum.
Late in the game, left back Ben Chilwell was taken out with what Pochettino claimed to be a hamstring injury. Due to a hamstring problem, the England defender missed a number of games last season, including the World Cup.
Tomorrow, we need to evaluate, Pochettino stated. But I believe it to be a hamstring.
Chelsea will play again in the Premier League on Sunday.
Chelsea travels to Fulham on Sunday to resume its Premier League schedule.