Or park at the Market Square garage (free) and enjoy the 1 miles walk along with other fans to Neyland. Negative is you need to get there early to make sure you get a parking space. You can breakfast at Pete's but be there early too because it seems the place fills up quickly being rather small. However, there are other eateries within Market Square itself. Maybe bring a large cooler box with ice packs you can freeze. Because you may want to buy stuff at the farmers' market at Market Square.
I'm not expert on this stuff but have been coming to games since moving back from the Southwest for the past 2-3 years now. Since each game I have attended, the UT ended up winning, Shirley and I will be at this Saturday's game. Got lucky in both off time and stumbling onto two $45.00 tickets in the lower Z section. Enjoy the game.