"For us to do a knee-jerk reaction in any case, not just Kenny, would be wrong by us, by me, to make a decision on something before I know everything I think I should know to make a decision," Munchak said during a news conference Friday.
Britt was arrested last week at an Army post in Fort Campbell, Ky., on charges of driving under the influence and implied consent. It was just the latest in a long line of brushes with the law for Britt, who has been involved in seven police incidents since entering the NFL in 2009.
Munchak acknowledged that Britt is also in danger of facing an NFL discipline for his latest arrest. Commissioner Roger Goodell chose not to suspend Britt after repeated incidents that occurred during the 2011 NFL lockout.
"We talked with Kenny, he's aware that we are very disappointed with his involvement in this recent situation," Munchak said. "The league has a policy in place that addresses player conduct, we've been in contact with the league.
"So now it's still gathering facts as exactly what did happen, what all the information is, and then with the league we'll decide where we go from there."
Britt has been working his way back to the field following three surgeries since suffering a torn anterior cruciate ligament and medial collateral ligament in Week 3 last season.