The move to esure will reunite Webb with Peter Wood, his previous employer at Direct Line. Webb spent five years at Direct Line and was made head of PR by Wood.
His role at esure will be to ensure that PR 'integrates with the company's marketing strategy', as well as to help build the company's customer base and credibility.
Webb will report directly to CEO Peter Graham. esure retains The Wriglesworth Consultancy and it is understood the agency will continue to be responsible for personal finance-focused consumer PR.
esure was set up as part of the Halifax Group in 2000 and started trading in July 2001.
It sells car and home insurance.