They dated on-and-off for about 18 months before Kyrgios confirmed he was in a new relationship with Costeen Hatzi in December last year.
Kyrgios, who is in Tokyo playing at the Japan Open, was not required to appear in court on Tuesday.
Mr Kukulies-Smith told the court his client would prefer to appear in person at the hearing and have the matter dealt with this year.
But his lawyers' and the court's clashing schedules mean the matter has been adjourned until February 3.
Tuesday's adjournment is the latest in a series of delays for Kyrgios' court case.
Kyrgios was initially due to face the Magistrates Court on August 2, but the hearing was postponed for three weeks due to his competition schedule.
Kyrgios' lawyers then attempted to have the matter adjourned until November 25.
Magistrate Louise Taylor rejected the application for the three-month delay but agreed to a six week adjournment until October 4.
The offence carries a maximum jail sentence of two years if convicted.