The latest extension plan, known as plot 2a, will sit next to the new Curzon Building, built by Willmott Dixon, which is due to open next month.
The university wants to expand this building with a six-storey extension providing further teaching facilities.
The university is presently shortlisting contractors to bid for a £30m design and build contract to deliver the 112,000 sq ft facility which will be able to accommodate up to 3,000 students and staff when it opens in September 2017.