Cleopatra Mosana failed to appear in court. The warrant would be issued if she failed to appear by 11 December, a court official said.
Mosana faces 33 charges of violating legislation involving the protection of internet-related communications.
In September, prosecutor Juan Agulhas told the court her lawyer, Greg Duncan, asked that Mosana be excused from attending the November proceedings, as she now lived in Centurion, Pretoria.
According to the charge sheet, Mosana allegedly hacked Tango Lamani's internet system between April and June 2011.
According to the charge sheet Lamani had confidential and sensitive information, as well as personal information, on his parliamentary computer.
Hacking describes the gaining of access via the internet into another system, without the permission of the other system's owner.
According to the charge sheet, Parliament's IT department informed Lamani that his system had been hacked.
Mosana was at that stage in the employ of home affairs in Cape Town, where one of the "infringing" computers was located.