The supermarket is being built on the site of the former RAF Burtonwood where new homes and local amenities including a school and additional retail units are being developed.
Caddick will complete the construction of the shell of the 34,550 sq ft supermarket in April.
Chris Allott, Contracts Manager for Knottingley-based Caddick Construction, said: “We have a wide range of retail experience including the construction of a shell for Sainsbury’s in Neston, Cheshire, in December 2010 and we’re delighted to have won this most recent project.”