On 24 February 2013, Dyer started the League Cup final for Swansea and netted the opening goal as well as the third in a 5–0 thrashing of opponents Bradford City. His goals thus helped Swansea win their first major trophy. Dyer's involvement was also notable as he was seen arguing with teammates over the taker for the spot kick early in the second half. Dyer was awarded the Man of the Match. After the match was over, Dyer said that not scoring a hat-trick was a disappointment, hence the wish to take the penalty, though the victory was the club's "massive" achievement. Afterwards, Dyer expressed a desire to stay at the club and described Michu as the calmest player he knew.