In the first week of the $1 billion project, owners of 318 of the territory's 1021 remaining homes with the deadly loose-fill asbestos have registered for a two-stage valuation process, the first step in the buy-back.

A political compromise is expected this week as the Legislative Assembly members agree for a special committee hearing to take place before legislation to allow the Commonwealth Government loan to be spent on homes is passed later this month.

Chief Minister Katy Gallagher said the registration of almost a third of homeowners by close of business on Friday was a positive step, just days after the formal paperwork was distributed.

"The Asbestos Response Taskforce reports there has been a high level of interest and engagement from homeowners wanting to progress to the next stages of the buyback and demolition program.

"I'm pleased to see so many homeowners signing up so quickly. I hope this process is providing them with some comfort and certainty after what has been an extremely difficult year for so many."

Acknowledging some homeowners are not happy with the valuation plan, which could see some unable to buy their properties back after land is remediated, Ms Gallagher said offers would be "fair and affordable".

Properties will be valued in a two-stage process which began last week. Independent of the ACT Government and co-ordinated by the Australian Property Institute, two valuations will be made and homeowners will be offered the average price.

Ms Gallagher said opting into the scheme does not commit homeowners to selling their property to the government. Registering allows valuations to be arranged and homeowners to receiving more information.

On Saturday, The Canberra Times reported the Assembly' Public Accounts Committee was likely to conduct a one-day inquiry this week, including submissions on the mechanics of the buy-back.

Ratings agency Standard and Poors said it would watch how the government deals with the crisis in its ongoing assessment the ACT's AAA credit rating.

Properties will be valued at October 28 levels, the date the buy-back was formally announced. Ms Gallagher said the date would provide consistency in valuations, prevent market speculation and encourage a timely sale of contaminated houses set to be demolished.

"I would also like to make clear that all homeowners do not need to vacate their homes by June 30, 2015. This is only the date at which homeowners need to register their interest in participating in the program," she said.

The government's taskforce is preparing to work with homeowners on settlement dates.

"I acknowledge for many homeowners this is a difficult time and the taskforce is working closely with homeowners on their individual circumstances and providing support.

"We are also working with banks, insurers, utilities, telecommunications providers and local businesses, many of whom have indicated their willingness to work with us in supporting Mr Fluffy owners and residents."

Homeowners caught up in the territory Mr Fluffy crisis will this week receive additional supporting information about the government's plans.

If the proposed timeline becomes a reality, the government expects the relevant appropriation legislation will be passed in the final sitting period for 2015. If not, members could be recalled in December to finalise laws establishing the buy-back.

Experts have warned the ACT budget will show the Mr Fluffy legacy for as long as a decade, but Ms Gallagher said this month she is not yet prepared to abandon a planned surplus in the territory 2017-18 budget.