Whilst at Oldham he also picked up a Carling No. 1 Award – selected by a Premiership committee before the start of the 1993–94 season. In early 1994 Norwich City made inquiries about acquiring his services, and after protracted negotiations between the two clubs he eventually signed for the Canaries for a fee of £250,000 in mid-February. Adams was to become a regular in the Norwich side during his time at Carrow Road. He assumed the role of penalty taker and dead ball specialist for the Canaries, and in his career he only missed from the spot once, in a league cup game against Swansea.