Welcome to the Sleep Inn, a Jackson hotel near Jackson Zoological Park The Sleep Inn® hotel is conveniently located off Interstate 20. This Jackson hotel is minutes from Jackson State University, the Mississippi Museum of Art, Mississippi Veterans Memorial Stadium football arena, Jackson Zoological Park and Mississippi College. The Jackson-Evers International Airport is eight miles away. Additional points of interest include the Mississippi Agriculture & Forestry Museum, the Ross Barnett Reservoir, the Mississippi State Capitol building and the Natchez Trace Parkway. Golf courses, bowling alleys and movie theaters are all nearby. A wide variety of restaurants, cocktail lounges and specialty shops are located in the surrounding area.