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He was supported by his mother, who the court was told was willing to drive her son to Melbourne to ensure he would not come close to an international airport.
In Downing Centre Local Court, Magistrate Greg Grogin applied a raft of bail conditions, including a ban on leaving Victoria except to attend court in NSW.
Johnson was also banned from contacting the alleged victim, approaching within 200 metres of where she works or lives or publishing any material about her online.
Other conditions include daily reporting to his local police station.
Johnson did not answer questions from reporters as he walked out of the courthouse flanked by his mother and his lawyer Charles Abbott.
Abbott said his client would defend the charge.
Victoria Police has suspended the senior constable with pay.
Johnson is excused from appearing when his matter returns to court in late May.