Moore made his debut against Colchester United on 8 January 2011 in the FA Cup. Since making his debut for the club, he quickly became involves in the first team, playing in the striker position. Moore scored his first goal for Swansea in a home victory against Doncaster Rovers on 19 February 2011, which was followed up by his second Swansea goal came in a 3–0 win over Leeds United on 26 February 2011. However, he lost his first team place following the arrival of Tamás Priskin and Fabio Borini, resulting in his playing time coming on from the substitute bench for the rest of the season. A month later on 25 April 2011, Moore scored his third goal of the season, as well as, setting up one of the goals, in a 4–1 win against Ipswich Town. He was involved in three matches in the play-offs, as Swansea City was promoted to the Premier League. At the end of the 2010–11 season, Moore went on to make thirteen appearance and scoring four times.