Robinson's breakout performance came in Tennessee's shootout against rival Florida on October 13, 1984. He completed a school-record 29 passes for 371 yards, including a 52-yard touchdown pass to Tim McGee in the first quarter, and a 48-yard touchdown pass to Joey Clinkscales that pulled the Vols to within a score in the fourth quarter. He also had 18 yards rushing, giving him 389 yards of total offense, which was also a school record. Tennessee's defense was unable to stop Florida's running back tandem of Neal Anderson and John L. Williams, however, and the Gators prevailed 43-30.