The Greens have made a new offer to the Albanese Government to pass two key housing bills stalled in the Senate.

But the approach looks set to fail, at least for now, with the government accusing the Greens of "working with Peter Dutton" to block new housing.

Labor's Help to Buy shared equity scheme, and new tax measures to encourage more build-to-rent properties, are both stuck in the Senate, opposed by both the Greens and the Coalition.

Previously, the Greens have offered support in exchange for demands like limiting rent increases and winding back tax breaks for property investors such as negative gearing and capital gains tax concessions.

The government has made clear those sorts of steps are very much not on the table, and negotiations have largely ground to a halt.

But in a new letter to Housing Minister Clare O'Neil, Greens housing spokesperson Max Chandler-Mather wound back those requests, instead suggesting thousands more homes be immediately funded through the Housing Australia Future Fund (HAFF).

The Housing Australia Future Fund was set up to provide at least $500m a year for social and affordable housing projects.

Successful projects that sought funding in its first round were recently announced, with a total of 13,700 homes to be built.

The Greens want the government to green-light a further 25,000 homes that sought funding, but were rejected.

Some in the community housing sector criticised the allocation of funding in round one as being directed at "low-hanging fruit", arguing viable projects were overlooked.

The Greens argue if more funding is needed to green-light the projects, the HAFF should be able to provide it.

In the letter, Mr Chandler-Mather said the Greens were willing to pass Labor's two bills in the next sitting fortnight.

"There's no reason you can't seize this opportunity for the HAFF to make a genuinely transformative impact right now, by getting 25,000 more social and affordable homes under construction in the next year," he said.

The Greens have two other demands, wanting a greater share of properties constructed under the built-to-rent program to be "affordable" dwellings, and further tweaks to the Help to Buy scheme.

Federal parliament is about to enter the final two sitting weeks for the year, and there is speculation they may be the parliament's final sitting weeks before an election is called in early 2025.

Government sources have criticised the Greens' late appeal for a compromise on the housing bills, arguing the process of having amendments costed, drafted and approved can take months.

They argue the suggestion that a further 25,000 homes be funded from existing HAFF applications is unworkable, as the projects largely provided poor value for money — sometimes two to three times the cost of similar projects that were approved.

And they have pointed to rounds two and three of the HAFF, which will focus more on social than affordable housing, as being on the horizon.

Both government and Greens sources estimate the cost of funding the further 25,000 homes would run into billions of dollars.

The Greens argue the funding should come from general government revenue, rather than exhausting the HAFF.

Housing Minister Clare O'Neil said she remained open to working with the Greens to pass the bills, but called on them to negotiate "seriously".

"My request is simply that the Greens act ethically," she said.

"Stop working with Peter Dutton to deny tens of thousands of Australians access to affordable homes.

"Come back to parliament and make good housing policies into good laws, so we can help the people we were elected to serve."

The Greens' build-to-rent proposals have also been criticised, with the Property Council arguing that lifting the affordability requirements would make the construction of any build-to-rent properties unviable.