The pitch is due to take place over the next two weeks. Incumbent Createthe is expected to repitch for the work.
The revamp is part of Burberry's plans to place greater focus on digital marketing. It intends to relaunch the website next year.
A Burberry spokesman said the brand has approached ‘a shortlist of external digital agencies to pitch for the build of a new user interface'.
Last month, the brand announced it was launching a consumer website, at artofthetrench.com.
The site, which aims to celebrate Burberry's iconic trench coat, will have social networking capablities. It is not live at the time of writing, but users are able to register for regular updates.
Burberry recently appointed Bartle Bogle Hegarty to work as its strategic brand partner.
Last week the label also embarked on a review of its global media planning and buying
arrangements. The account is held by MediaCom in the UK.
In the year to 31 March, Burberry's revenue was £1.2bn, up 21% year on year and in excess of £1bn for the first time.
In September, the company entered the FTSE 100.
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