Chief Minister Andrew Barr said he would prefer to see the ACT Greens as part of the government, rather than the party be relegated to the crossbench for the next four years.
Talks are set to begin between Labor and the Greens on establishing a new parliamentary agreement for the upcoming term.
"I have worked with both models and I prefer the alliance model that sees them as part of the government rather than the crossbench," Mr Barr said on Monday.
"I think that is a more effective way...and my personal preference is that they are involved."
The Greens were the surprise story of the ACT election, picking up at least four seats in the 25-member Assembly, and could get as many as six if preferences flow their way.
However, despite the large increase in Greens members elected to the Assembly, Mr Barr said it was unlikely there would be more Greens serving as ministers, aside from Greens leader Shane Rattenbury.
"It's a big ask for a brand new MLA to come in, and a week later be a minister," Mr Barr said on Monday morning.
"Unless they have considerable experience in a portfolio area, it is a sink or swim moment for a new candidate.
"I have been in this position and John Stanhope threw me in the deep end in 2006. I know what that is like and I'm not going to do that to someone."
Mr Barr said there was a place for his Greens' counterpart in the next government but the position of deputy chief minister would be returned to Yvette Berry, saying it would be only fitting to have a woman as deputy leader in the second female-majority assembly.
"It's not feasible to have a Chief Minister and a deputy chief minister to both be from the same electorate and both be blokes," he said.
The Chief Minister said he was sweating on several results yet to be determined with preference flows still to be determined.
Uncertainty clouds the future of Attorney-General Gordon Ramsay in the seat of Ginninderra, who is in a race for the final seat up against Peter Cain from the Liberals.
"There are still too many votes that have yet to come in, and he did a lot of work among his older constituents who are more likely to have postal voted or voted in a traditional paper ballot," Mr Barr said.
"Gordon Ramsay is a strong member of the assembly and brings a wealth of experience and it would be a devastating loss for the ACT Labor but there are still lots of votes to count."
Mr Barr said votes yet to be counted are more likely to improve the fortunes of the Canberra Liberals, with large amounts of postal votes yet to be tallied.
Labor could get as many as 12 seats in the new assembly or as few as 10, depending on the final result.
A close race is developing for the fifth seat in Brindabella, where Labor's Taimus Werner-Gibbings was just seven votes behind the Greens' Johnathan Davis.
Labor did better than expected in the southern-most seat with a 7.4 per cent swing in an area considered as Liberal heartland.
"It busted a few myths out there," Mr Barr said.