Green, the fourth overall pick of the 2011 draft, injured his knee last Sunday on a 36-yard touchdown catch in the first quarter. He was limited after that and didn't play in the second half of Cincinnati's 24-17 loss to Pittsburgh.
Asked about this availability for Sunday in Baltimore, Green told the Enquirer on Wednesday, "I don't know. It's going to be a game-time decision."
The Bengals and Ravens are 6-3 in what has been a three-team race in the AFC North. The Steelers (7-3) lead the division.
Green leads NFL rookies in receptions (41), receiving yards (635) and receiving touchdowns (six). On Monday, Bengals coach Marvin Lewis expressed optimism after Green underwent an MRI.
"A.J. should be fine," Lewis said.
Jamison Hensley covers the AFC North for ESPN.com.