Josey finished with 95 yards and James Franklin returned from a three-game injury absence to go 12-of-19 for 142 passing yards with an interception.
Marcus Murphy picked up 67 yards with a touchdown on 16 carries for the Tigers, who can clinch the SEC East title with a home win over Texas A&M next week.
If the 10th-ranked Aggies prevail, No. 11 South Carolina would claim the chance to play either top-ranked Alabama or No. 7 Auburn in the SEC championship tilt.
Ole Miss (7-4, 3-4) had its three-game winning streak snapped as Bo Wallace was held without a touchdown pass. He went 26-of-42 for 244 yards with an interception.
Donte Moncrief made six grabs en route to 115 yards on six catches for the Rebels.