If passed, this bill would see the home detention sentence continue to run, unless the appellant is granted bail.
"This recognises that some home detainees who appealed may pose a risk to public safety if released into the community without restrictions," she said.
The Bill would also give the court discretion to allow a home detention sentence to resume after a short sentence of imprisonment.
It also contains a number of other amendments that will help improve public safety and improves administrative efficiency, said Ms Tolley.
The Bill has now been referred to the Law and Order Select Committee.