Allen was arrested Saturday in Miami Beach and being held at the Pretrial Detention Center in Miami on $1,000 bond.
A spokesman for the Dolphins declined comment, saying the team only recently learned about the incident.
According to an arrest affidavit, Allen drove up to a roadway blocked by police and told them he needed to get through. An officer reported that Allen smelled of alcohol and had bloodshot, watery eyes.
Records did not indicate whether he has obtained an attorney.
A nine-year NFL veteran, Allen missed the final 10 games last season because of a knee injury that required surgery.