The winner will handle all of the company's customer relationship marketing duties.
Adam Roston, the head of UK marketing for Dyson, is overseeing the review, which is being handled by the AAR.
The incumbent, The Marketing Store, was knocked out of the process at an earlier stage. It was only appointed to the brief in March 2006, after beating Tullo Marshall Warren and the VCCP-backed Stephens Francis Whitson, the previous incumbent.
SFW was initially picked because of the relationship with Dyson's above-the-line agency, VCCP, which still handles its advertising duties.
Recently, Dyson has seen its profits rocket from £39.6 million in December 2005 to £78.2 million in 2006. Its success has been attributed to booming sales of its bagless vacuum cleaner in the US. Dyson now has 20 per cent of the US vacuums market.