The agency has given the green-light to council plans to build the centre on a former landfill site near Pride Park stadium.
Bowmer & Kirkland has won the contract after beating off competition from Bam Construct, Galliford Try, Interserve and Morgan Sindall
Derby City Council officials will now meet with the B&K team to discuss final design and budget details for the contract which is expected to take between 18 and 24 months to complete.