The conversion followed Sasek's 3-yard touchdown pass to Jones to complete a 3-play, 51-yard drive, set up when the Fightin Blue Hens recovered an onside kick.
Delaware (7-2, 4-1 Colonial Athletic Association) cut the lead to seven just 29 seconds earlier when Sasek (34 of 46, 330 yards) found Michael Johnson open for an 11-yard score.
Towson (8-2, 4-2) led 31-10 after a Drew Evangelista 25-yard field goal at 14:31 of the fourth quarter.
Delaware started its comeback with a 56-yard drive, capped by Jalen Randolph's 1-yard touchdown run to cut the score to 31-17.
Towson's Terrance West added to his nation-leading totals in both rushing yardage and touchdowns with 206 yards and 2 TDs -- his third 200-plus yard game this season.
Steve Spurrier, the visor-slinging, slick-talking "Head Ball Coach" who is the second-winningest coach in Southeastern Conference history, announced his resignation on Tuesday.
USC athletic director Pat Haden spoke Tuesday about the decision to fire head coach Steve Sarkisian, calling it "very difficult," while also defending his handling of the situation.
Steve Sarkisian has been plagued of late by apparent substance-related circumstances, including arriving to team facilities appearing intoxicated Sunday, according to sources.
Florida Gators quarterback Will Grier has been suspended for the year after testing positive for a performance-enhancing substance found in a supplement, coach Jim McElwain announced Monday.
Tennessee defensive tackle Shy Tuttle will miss the rest of the season with a broken fibula and torn ankle ligament.
Former NFL safety Tyler Sash died from an accidental overdose after mixing two powerful pain medications, and a history of injuries was a contributing factor, a medical examiner said.