What is the phone number for university hospital? University Hospital main phone number: (608) 263-6400 (main) (800) 323-8942 (toll-free) General inquiries for other UW Health facilities:Where is rush university medical center located? Rush University Medical Center is a medical college, located at Chicago, IL, United States. It provide healthcare facilities to children and adults. The center is affiliated to Rush University. Established on March 2, 1837, it has 664 beds.Where is the rush hospital located? Rush Medical College is the medical school of Rush University, located in the Illinois Medical District, just 2 miles west of the Loop in Chicago.