West said if Bryant completes general counseling and doesn't get charged with any crimes for one year, the charges will eventually be dropped.
"We support Dez and his family and we tried to do that right from the start," Cowboys coach Jason Garrett said Thursday. "We talk to Dez and all of our guys about being the right kind of guy and try to do the right things. In his case, that's what he tries to do. We have a lot of programs in place for him and for other guys on our team to do the right things. He's very aware of that and he works very hard to do that every day. We try to support him in those efforts."
Earlier this month, Dallas County district attorney Craig Watkins said his office wasn't going to drop a charge against Bryant regarding an alleged domestic violence because it was still reviewing the case.
Cowboys officials and Bryant were not available for comment.
In July, Bryant was charged with a Class A misdemeanor for allegedly assaulting his mother, Angela, during a family argument.