According to Falcons.com reporter Andrew Hirsh, it will be a minor procedure and White is expected back for week one of the regular season.
White suffered the elbow injury last week, and missed Atlanta's second preseason game against the New York Jets. White has swelling in the elbow, causing the need for the procedure.
White, 33, also had his knee drained during minicamp earlier this year.
White has spent his entire 10-year career with the Falcons. Last season, he caught 80 passes for 921 yards and seven touchdowns in 14 games.