Introduction of a new influenza strain into human circulation leads to a rapid global spread of the virus due to minimal antibody immunity. Established T-cell immunity towards conserved viral regions provides some protection against influenza and promotes rapid recovery. However, influenza viruses mutate to escape the protective immunity. We found that established T cell immunity can recognise influenza mutants with variations at positions that are partially involved in T cell recognition. However, an initial priming with the mutated variant decreases recognition of the original parental virus. This finding results from a markedly lower functional quality and limited structural interactions of the mutant. In terms of possible vaccination strategies for rapidly changing viruses or tumours, it appears that priming with crossreactive mutants that display such characteristics would be of no benefit as the same level of T cell immunity against such mutants can be elicited by exposure to the original virus.