Ms Burgess says the purpose of HMO licensing is to ensure accommodation is safe, well managed and of good quality.
Officials from Glasgow City Council have inspected the premises and the license was only granted for 12 months, provided they address a number of issues raised around the living standards.
The minister says John Mason has been a tireless campaigner raising the issue of conditions in the Bellgrove in recent years, as she concludes the debate.
Remember you can watch all the chamber business and the Justice Committee on demand atBBC Scotland's Democracy Live website.
That's it from our coverage of the Scottish Parliament on 16 December 2014.
We'll be back with coverage of the Finance Committee tomorrow morning from 10am, until then have a good night.