Former SNP leadership challenger Kate Forbes has backed discussions with party members on the deal with the Greens.
The parties have clashed on key issues like gender reform as well as policies in the Bute House agreement, such as Highly Protected Marine Areas (HPMAs).
Ms Forbes said SNP members should be able to vote on key commitments.
The Bute House Agreement, which was signed in 2021, is used as the framework for government between the two parties.
But ex-cabinet secretary Fergus Ewing recently called for the SNP's membership to hold a new vote on it and branded the party's coalition partners "fringe extremists".
Ms Forbes said members had voted on the original deal and debated it as a key issue during the leadership campaign, which followed first minister Nicola Sturgeon's resignation.P
Policy of the SNP
But the former finance secretary told the BBC: "I do believe quite strongly in the fact that our members ultimately should dictate the policy of the SNP in government and that we should not limit or restrict what members may want to discuss at the upcoming conference.
"So I certainly wouldn't be averse to the Bute House Agreement being discussed as part of, let's say, a check-in with the members now that the Bute House Agreement has been operational for over two years."
Asked if members should vote on the deal, Ms Forbes said the matter was "a little bit more complicated than that" and added the agreement was not "set in stone".
She highlighted that high-profile issues such as HPMAs and the controversial deposit return scheme - which pre-dated the agreement - had been amended or changed.
Ms Forbes said: "This is clearly an agreement that has evolved as it has been delivered.
"I am a democrat. I am answerable to my constituents and it is, I think, a mark of strength for a government to be able to pivot, to be able to deliver.
People's priorities
"So I think it is actually a discussion about how the government is delivering the people's priorities which should characterise that debate at conference."
The MSP added that members should be able to specifically vote on, for example, environmental and infrastructure-investment commitments.
Meanwhile, Scottish Greens MSP Ross Greer has highlighted policies delivered under the Bute House Agreement.
He said these included free bus travel for under-22s, the end of peak-time rail fares from October and protection from evictions.
Mr Greer told the BBC: "We are in government every day making people's lives better and protecting the planet.
"I think that is what people expect from their politicians."