The airline has approached a number of London-based shops. The search is being handled by the AAR.
Aer Lingus last reviewed its advertising arrangements in March 2003. The account was moved out of the Dublin-based BBDO network agency, Irish International, into Rothco, an independent Dublin shop.
Abbott Mead Vickers BBDO handled UK advertising for the airline, although the account had been largely inactive for several months at the time of the review.
The last UK-targeted creative work by AMV used celebrity endorsement to attract business people to the airline. One poster featured the then Republic of Ireland footballer Roy Keane.
The search for a UK shop comes as the Irish government battles Ryanair's bid for control of Aer Lingus.
Aer Lingus declined to comment.