The centre is the second building of five new developments which are planned for the Innovation Birmingham Campus.
The building will offer a number of co-working spaces and training rooms to help growing businesses based at the campus.
AHR designed the centre following the Greater Birmingham & Solihull Local Enterprise Partnership (GBSLEP) award of a £2.49m Local Growth Fund grant for the development.
Dr David Hardman MBE, CEO of Innovation Birmingham, said: “The Universities Centre is the second phase of a planned £40m expansion of the Innovation Birmingham Campus.
“The building has been purposed-designed by AHR to stimulate far greater interaction between Birmingham’s five universities and the city region’s burgeoning community of start-ups and SMEs.
“There will be a full programme of activity that is delivered from this new facility as soon as it opens in September, which will contribute to Birmingham’s Smart City agenda.”
The Innovation Birmingham Campus is currently home to 130 digitally-focused companies, covering specialisms including coding, software, software as a service, digital gaming and low carbon technologies.
Construction of the centre is expected to begin soon with occupation expected in September 2016.