The decisive drive went 80 yards in 11 plays and took 2:46 off the clock.
Erik Lora caught 11 passes for 128 yards for Eastern Illinois (4-3, 3-1 Ohio Valley). Garoppolo completed 26 of 51 passes for 220 yards with a pair of interceptions. Jake Walker rushed for 103 yards and a touchdown.
Washaun Ealey had a big day for Jacksonville State (3-3, 2-2), rushing for 149 yards and three TDs.
The Eastern Illinois defense came up with three interceptions of Jacksonville State's Marques Ivory.
Will Grier threw four touchdown passes to four receivers -- all in the first half -- and No. 25 Florida downed third-ranked Mississippi 38-10 on Saturday night.
Leonard Fournette highlighted his SEC-record third straight 200-yard game with a 75-yard touchdown run, and No. 9 LSU overcame Eastern Michigan 44-22 on Saturday night.
An officiating error led to an Oklahoma State touchdown Saturday in the Cowboys' 36-34 win over Kansas State.
Texas A&M receiver Ricky Seals-Jones, who was ejected for targeting midway in the second quarter of Saturday's game, took to Twitter late in the game, retweeting a tweet that questioned the call.
Florida State running back Dalvin Cook exited in the first quarter of the Seminoles' 24-16 win over Wake Forest with a left hamstring injury. He is day-to-day.
As if things weren't going bad enough at Texas, the Longhorns appear to have players on Twitter during lopsided losses and jabs at their coach accidentally being sent from other nearby teams.