Red Roof Inn is renovating all of their inns nationwide This location now features redesigned rooms with more comfort and added amenities such as T-Mobile wireless Internet access (daily fee may apply). The Knoxville West Red Roof Inn is conveniently located off of I-40/I-75, just 13 miles from the University of Tennessee. This 3-story Inn features an elevator and truck parking, and is located near numerous restaurants, shopping areas and a cinema. Experience our coffeehouse-style service featuring fresh brewed, ground whole bean coffee.