Abdullah addressed the media about the situation Wednesday.
"I would just like to apologize to my teammates, my coaches, my family, my wife," Abdullah said. "I take full responsibility for any repercussions from this.
"I know what it takes to win in the NFL and what I did was obviously a distraction and I don't want to distract my teammates or hinder them in any kind of way. I just apologize to everybody involved."
At this point Coach Dick Jauron shied away from commenting directly on Abdullah's situation, but the running back has already been ruled out of Sunday's game at New Orleans with a concussion.
"I don't think anybody in the building has all the facts on it at this point and we'll have to wait and see," Jauron said.
The Bears are all too familiar with this story. Last October Bryan Robinson was charged with his second DUI in four months and the team subsequently benched him for one game.
"Nothing good happens generally for the individual or for our team if you're on the streets at 2, 3, 4, 5 o'clock in the morning," Jauron said. "There's nothing good that happens for anybody out there at that time.
Under league policy the Bears can't directly suspend Abdullah for his actions, but the NFL could step in and discipline Abdullah. The team does have the option not to dress Abdullah, who has seen an increased role in the offense in his second season with Chicago.
"That's when I understand whatever occurred occurred. We'll have to deal with the rest of it when we get all the facts."
Warrick Holdman is listed as questionable on the injury report with a sprained right knee and ankle. While he will be re-evaluated on Friday the chances of him playing are slim as he missed practice Wednesday.
"We're not optimistic," Jauron said. "It may be just a formality, but we won't know absolutely until (Friday), so we'll just kind of keep our fingers crossed and hope something miraculous happens there."
Joe Odom is working with the first team in preparation of his first NFL start in place of Holdman.
"Hopefully he'll do a good job," Jauron said of Odom. "He's got athletic ability and speed and we like both of those things."
Lance Briggs remains atop the depth chart at strong-side linebacker, which means the Bears will have two rookie linebackers in the starting lineup.
Kicker Paul Edinger was named NFC Special Teams Player of the Week following his performance against Oakland. The placekicker made a 48-yard field goal as time expired to help the Bears earn their first win of the season, a 24-21 victory over the Raiders.
The 5-8, 175 pounder out of Michigan State was three-for-three on field goal attempts during the afternoon, also connecting from 35 and 50 yards while knocking through one extra point.
The game-winner was the fourth of his career and third "walk-off" conversion. He has made all eight of his field goal attempts this season with five of the attempts coming from 40 yards or longer and hasn't missed an extra point during his NFL career (89 of 89).
The honor is Edinger's second weekly award, the last coming following the final game of the 2000 season when he made a game-winning field goal from 54 yards to knock the Lions from playoff contention.