Jones has been sidelined ever since playing in the Ravens' third preseason game, just learning Friday that he was being cleared medically after dealing with fluid that built up in his chest.
The Ravens will gradually ease Jones back into practice and exercise regimens before deciding whether he'll play Sunday against the Cleveland Browns.
"Arthur went and saw a specialist, it was very positive," Ravens coach John Harbaugh said. "Good news, it seems to have cleared up. He should be good, and we'll just have to see how ready he is to play this week. That will obviously be the issue football-wise. I can't make a prediction on that right now."
When asked if Jones will be back by October, Harbaugh replied: "He's got a sprain. It's not what you'd call a serious type thing. Day-to-day, week-to-week, see how fast he can come back."
Harbaugh shed no light on offensive tackle Michael Oher, whose sprained right ankle was found to not be a major injury with the possibility of returning as soon as the Browns game, according to a source.
The Ravens haven't shut the door on rookie center Ryan Jensen possibly returning this season. Jensen was still in a walking boot last week after undergoing surgery for a broken foot suffered early in training camp. He remains on the 53-man roster.
"We feel like he's going to be a player for us sooner rather than later and that's why we held on to him on the 53," Harbaugh said. "We've got high hopes for him this year, and he's not too far out. He's going to have to get in football shape, but he's getting closer to being back, so we're excited about him."
Wide receiver Deonte Thompson (sprained left foot) is getting healthier with Harbaugh saying, "He's making progress, and he's close as well."