Surman signed for newly promoted Championship side Norwich City on 22 June 2010 in a three-year deal for an undisclosed fee. He made his debut on 6 August 2010 in the 3–2 defeat to Watford at Carrow Road. After an impressive start to his Norwich City career, he sustained a knee injury in training, two days before the 2–1 victory over Barnsley on 11 September 2010. He returned to action against Leeds United on 20 November in a 1–1 draw. He was subbed on 60 minutes. He suffered a re-occurrence of the injury in the 4–1 victory over Ipswich Town which sidelined him until February 2011. To improve his fitness, Surman played 65 minutes in the Norfolk Senior Cup match against Dereham. He made three appearances off the bench for the first team before making his first start in the 2–0 victory over Barnsley, playing the full 90 minutes. He scored his first goal for Norwich in a 3–1 win against Bristol City. On 15 April 2011, Surman scored the winning goal in a 2–1 win over Nottingham Forest. The following week, Surman scored the opener in the 5–1 win over Ipswich at Portman Road on 21 April 2011. At the end of the season, Norwich City was promoted to the Premier League after a six-year absent.