Brown's trial had been scheduled for Monday and was rescheduled for Wednesday so lawyers would have time to address bodyguard Christopher Hollosy's potential testimony.
Both men were arrested in October after police say they punched a man outside a hotel. Hollosy was convicted of assault Monday.
Brown's attorneys want Hollosy to testify. Hollosy would be expected to say that he, not Brown, punched the man.
Unless prosecutors grant Hollosy immunity, testifying could affect the appeal he plans in his conviction.
Prosecutors say in a court document that they won't grant immunity because he's refused to speak with them after his conviction and they have concerns he would lie.