McClure, a seventh-round draft pick of the Falcons in 1999, has started 172 of 175 career games, including six in the playoffs. He was injured in Atlanta's preseason loss Saturday at Pittsburgh.
"We don't know the exact time frame of him coming back," Smith said Monday. "It was a very minor procedure. It was done this morning. I haven't had an opportunity to talk to Todd or the doctors yet, but we will be able to update that next week."
Joe Hawley, a fourth-round pick from UNLV last year, is working in McClure's spot and will start the preseason finale Thursday against Baltimore.