Derryn Hinch has begun his five months' home detention after being sentenced for breaching suppression orders by naming two pedophiles.

Even worse for the outspoken broadcaster, Hinch, who underwent a life-saving liver transplant two weeks ago, has been banned from communicating with the outside world through radio, television or even Twitter for the same amount of time.

Magistrate Charlie Rozencwajg on Thursday handed down the sentence in the Melbourne Magistrates Court, warning if Hinch had not been sick, he would have gone to jail.

The 67-year-old ex-pat Kiwi has been told he can not work and can only leave his apartment for doctor's appointments.

Fellow 3AW host Neil Mitchell said: "In some ways this is tougher than jail. I could go and visit Derryn in jail and tell you what he said but under these restrictions, I can't."

A frail-looking Hinch arrives at Melbourne Magistrates Court with wife, Chanel.

In sentencing, the magistrate acknowledged Hinch's long and successful media career, but told him his repeat offending and his lack of remorse meant he must serve a custodial sentence.

Hinch was spared jail because of health concerns over his liver cancer and recent transplant.

A pale and frail-looking Hinch arrived at court, accompanied by his wife Chanel. Almost struggling to catch his breath as he shuffled up a wheelchair access ramp, Hinch told reporters he could not wait for his sentencing to be over.

He had spent the morning prior to his hearing at the Austin Hospital undergoing blood tests and a check up after an operation yesterday to have a stent removed from his pancreas and to deal with a haematoma.

"I'm alright, not wonderful," he said entering court.

"I just want to get it over with."

He said he anticipated a broadcast ban, and when asked if he would be compliant, Hinch replied: "I suppose I'll be silent, but not for long."

Hinch had argued before the High Court that Victoria's Sex Offenders Monitoring Act was unconstitutional because court proceedings must be conducted publicly.

But the court ruled unanimously that the requirement that justice be administered publicly was not an absolute rule, and rejected Hinch's argument that suppression orders in cases involving serious sex offenders were unconstitutional.

"They say that it is in the public interest that these names be suppressed, but I don't believe it is. I don't believe the public thinks it is," Hinch said at the time.

"This law is bad law. These are men who rape kids.

"The community never knows if these guys are going to be living near your house, near your school, near your place of worship or anything, and that's the way it was, that's the way it will remain."

Hinch, a firm supporter of the "name them and shame them" campaign, remained defiant that Victorian legislation suppressing the identity of pedophiles and rapists is wrong.

Speaking outside court before being muzzled, Hinch said: "I still believe that this is a bad law and it will change. I may not be around for it but it will change."