Construction information specialist Glenigan said the bidders are Balfour Beatty, BAM, Sir Robert McAlpine, Willmott Dixon, John Sisk and Galliford Try.
Work is due to start on site this summer.
Six major players are in the running to build a new £35m sports centre for Birmingham University.
Construction information specialist Glenigan said the bidders are Balfour Beatty, BAM, Sir Robert McAlpine, Willmott Dixon, John Sisk and Galliford Try.
Work is due to start on site this summer.