The Target killer is out of prison on parole after 10 years behind bars for a stabbing which shocked Tasmanians.
The parole board has banned 31-year-old Jayden Glenn Montgomery from travelling south of Oatlands as part of his release conditions.
Montgomery fatally stabbed Adrian Fitzpatrick during a fight in the Hobart Target store in 2008 and was sentenced to 18 years for murder.
The board's has noted Montgomery's anger and substance issues, but also his good behaviour and work ethic in prison.
"Certainly the applicant’s prior propensity to aggressive behaviour appears to have moderated over the years of his custodial sentence," said the board's published reasons.
"He has good insight into his drug use issues and has engaged well in his most recent stint of treatment at the Apsley Drug Unit."