Sorrells, who finished 21-for-28, threw a 16-yard touchdown pass to R.J. Webb to put the Paladins (4-2, 3-1 Southern Conference) ahead 20-7 at halftime.
After Cameron Yaw's 21-yard field goal pulled the Bulldogs (3-4, 1-3) within 10, Sorrells connected with Chris Truss on an 8-yard score to push the lead to 26-10.
Samford got 1-yard touchdowns runs from both Alex Barnett and Chris Evans in the fourth quarter but it wasn't enough. Evans also scored from 2 yards out in the first quarter.
Sorrells threw his first touchdown in the opening quarter - an 8-yarder to Jerodis Williams - and Tersoo Uhaa scored on a 2-yard run to open the scoring for Furman.
Dustin Taliafero was 29-for-46 passing with 306 yards and an interception for Samford.