Part of the brief will be to deliver three major projects within the existing Grade-II* building, including the reworking of the entrance and the Clore Gallery.
The triumphant design team will be the first architects to work in the gallery since John Miller - who completed his Centenary Development in 2001.
The practice, which will be taken on for an initial period of five years, could also get the chance to work at Tate's other galleries at St Ives and Liverpool as well as in the Tate Modern.
According to a gallery statement 'the expectation is that the selected architect will be the architect on all projects' and will also be asked to take into account a forthcoming expansion programme in their designs.
The selection process is by way of an OJEU and the closing date is 3 July.
For more information about the project visit http://www.ted.europa.eu/(OJEU number 2006/s107-114734).