On 6 February 2013, Monk signed a one-year contract extension at Swansea, keeping him at the club until June 2015. Later that month, Monk won the first major trophy of his career as Swansea, under manager Michael Laudrup, beat Bradford City 5–0 in the 2013 League Cup Final at Wembley Stadium. Monk lifted the cup together with Ashley Williams after coming on as a 62nd-minute substitute for Ki Sung-yueng in the Final in a 5–0 win against Bradford City.