Make is part of a consortium that includes Carillion, developer Urban Catalyst and Leeds architect Carey Jones. It is hoping to design and develop the International Pool Centre in Leeds city centre.
The consortium is one of four in the shortlist. The other three are understood to include HBG and Barratt, developer Simons Estates and a group led by Kier. The winning consortium is due to be announced in October.
The proposed scheme is primarily an office development but will include shops, flats and a hotel. A council spokesperson said the buildings on the 1.2 ha scheme would be between six and 18 storeys, although there could be exceptions to that rule. He said none would be as tall as Simons Estates' 47-storey Criterion Place scheme.
Work will begin on site in 2006. The council wants to keep the centre open until another swimming pool, under construction on the edge of the city, is complete.
Shuttleworth has bolstered his firm by recruiting two project directors from Foster and Partners. Frank Filskow and Katy Ghahremani had their first day at the office this week.
Ghahremani and Filskow join John Prevc, Jason Parker and Sean Affleck, who all formerly worked for Foster and Partners.
Ghahremani teamed up with architect Michael Kohn to win first prize in the £15,000 Ideal Home Exhibition Concept House competition in 2000. His HangerHouse, designed for the year 2020, could be assembled in 72 hours.
Ghahremani joined Foster in 1997, gaining experience on the London International Financial Futures & Options Exchange in Spitalfields and the Surrey headquarters of entertainment software house Electronic Arts.
Make is currently working on three projects in partnership with architect RHWL. The two firms are designing a cladding solution for the Elizabeth House site next to Waterloo station, south London, an office development in north London and a mixed-use scheme in central Coventry.