He has pleaded not guilty to all charges.
Carter's attorney James Tilson said Friday that the original complaint given to the grand jury stated his client was in possession of about 29 grams of cocaine when he was arrested in January.
But Tilson contends a lab report shows that Carter had fewer than eight grams, not including the weight of the packaging.
In Arizona, there is a statutory presumption that possession of nine grams or more means an intent to sell, Tilson said. It could also mean the difference between jail time and probation.
A May 13 hearing is scheduled on the motion to remand the case back to the grand jury.
The rapper was arrested after his tour bus was stopped on Jan. 22 at a U.S. Border Patrol checkpoint near Dateland, Ariz., 78 miles east of Yuma.
Authorities said a search of the bus by Drug Enforcement Administration agents yielded nearly four ounces of marijuana, slightly more than one ounce of cocaine, 41 grams of Ecstasy and miscellaneous drug paraphernalia.
Also found was a .40-caliber pistol registered to Carter, who has a concealed weapons permit in Florida.
