Smith said Edwards had knee surgery sometime during the lockout and isn't quite ready to participate in a game. Smith said it was a "minor procedure" and Edwards wasn't around to elaborate.
"We are bringing him along slowly," Smith said, according to the Atlanta Journal-Constitution.
Edwards was signed away from the Minnesota Vikings with a five-year deal worth $27.25 million, and the Falcons view him as an explosive pass-rusher who will team with John Abraham to put more pressure on opposing quarterbacks.
Edwards recorded 16½ sacks the past two seasons in Minnesota, despite sharing the spotlight with talented Vikings defensive end Jared Allen.
Pat Yasinskas covers the NFC South for ESPN.com.