Under the agreement, LSU would play in Austin in 2019, and the Longhorns would play the Tigers in Baton Rouge in 2020, the source said.
The last time Texas and LSU met was the Cotton Bowl, capping the 2002 season, a game won by the Longhorns 35-20. Roy Williams was the star with four catches for 142 yards and one touchdown reception with another score on a reverse.
In a related development, an industry source said Texas and South Florida have agreed to play games in 2019 (Austin), 2022 (Tampa) and 2024 (Austin).
For Texas, LSU replaces Notre Dame as a marquee non-conference opponent in those seasons after the Irish canceled games with UT in those seasons.