Senate Majority Leader Andy Biggs, who will become Senate president in January, said some GOP lawmakers oppose creating an exchange, others are cautiously skeptical and others are open to the idea.
Biggs, who is among opponents of the health law and its exchange requirement, cited concerns about costs that would be imposed on the state.
Like the federal-state Medicaid program, "the feds really control it," Biggs said.
House Minority Leader Chad Campbell, D-Phoenix, said it'd be best if the state runs the exchange as long as it is consumer-friendly.
"This is not a partisan issue at this point," he said.
Sen. Frank Antenori, a Tucson Republican who will leave the Legislature in January because of his re-election defeat, said he believed Brewer would approve a state-run exchange but that the issue had her squirming.
"She's conflicted, and deep in her heart she knows it's the wrong thing to do, but she's going to be pressed" by the business community to create an exchange, Antenori said. "She doesn't want to be the one that gets the blame for not implementing the changes."