The U.S. Attorney's Office in the Southern District of New York is expected to release more information later, the report said.
Carton has co-hosted the all-sports radio station's morning show with former Jets quarterback Boomer Esiason since 2007.
Carton and Esiason replaced Don Imus, who was fired by WFAN after making disparaging remarks about the Rutgers women's basketball team.
According to a partial transcript the governor's office told the Star-Ledger it got from a "trusted source," Carton said: "What Gov.
Codey ought to do is approve the use of medical marijuana so women can have a joint and relax instead of putting their babies in a microwave.
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