Jordan's lawyer and prosecutors say they're discussing the possibility of a plea deal but haven't reached any agreement.
Jordan was convicted in 2008 of stalking and harassing the "Pulp Fiction" actress. He was sentenced to three years' probation and told not to try to contact her for five years.
Prosecutors say he called some of Thurman's phone lines and demanded to speak to her twice in October.
Jordan's lawyer says the charges are excessive.