According to a report in the Parsippany Daily Record, Randall was pulled over after a police officer witnessed a vehicle driving with no lights on.
Randall and a passenger were arrested, charged with driving while intoxicated, use of a controlled dangerous substance and possession of a controlled dangerous substance.
Dixon released the following statement on Tuesday night.
"The incident involving Derrick Randall is not only surprising, but incredibly disappointing," Dixon said "Although I believe it was out of character for Derrick, he has been indefinitely suspended."
Randall played in all 36 games in his first season at Pitt, averaging 2.1 points and 2.4 rebounds a game. He started the opener against Savannah State, where he paced the Panthers with 12 points and 12 rebounds.
Heading into the 2014-15 season, he was expected to take over Talib Zanna's starting spot.