The Eagles pulled away from William & Mary, 31-15, at Zable Stadium in the second round of the FCS playoffs on Saturday.
Georgia Southern (9-4) advances to the FCS quarterfinals for the first time since 2002 and will play at Wofford either Friday or next Saturday.
"There's something very special about this football team," Georgia Southern coach Jeff Monken said.
The Eagles' triple-option offense shredded the Tribe defense for 423 yards.
Knocked out in the first quarter a week ago in the first round against South Carolina State, Jaybo Shaw went the distance Saturday and scored touchdowns on runs of 1, 18, and 3 yards.
"I think we took the field thinking we could play with (William & Mary)," nose guard Brent Russell said.
Georgia Southern beat top-ranked Appalachian State 21-14 on Nov. 6 and hasn't lost since.
"I think our team is playing its best football right now," Monken said.
WOFFORD 17, JACKSONVILLE STATE 14
In Jacksonville, Ala., Eric Breitenstein ran for two touchdowns and Wofford (10-2) defeated Jacksonville State (9-3) to advance to the Football Championship Subdivision quarterfinals.
Breitenstein finished with 178 yards on 28 carries and scored two touchdowns.