Ryan was diagnosed with a sprained AC joint but will not need surgery, according to the source. The two-time Pro Bowler popped his shoulder back into place and may not need an MRI on Monday.
The 27-year-old Ryan suffered the injury in the second half of Atlanta's 28-24 loss to the San Francisco 49ers. He was in visible pain during the latter stages of the fourth quarter and was seen leaving the locker room with his arm in a sling.
Despite passing for a postseason franchise-record 396 yards and three touchdowns, Ryan committed two costly turnovers in the second half.
ESPN.com's Pat Yasinskas contributed to this report.