Brown told the Boston Herald on Wednesday that he'd decide soon and that "there's nothing wrong with having a primary."
"And there’s nothing wrong with having a free shot either," Brown added. "We’re going to talk.”
But he didn't close the door on a run for another office, suggesting that he could pursue "something else" instead of the governor's mansion.
“I would think as a courtesy to [Baker] and to the people who are interested in it, let everybody kind of know I have a plan, I’m executing the plan, and whether it’s for governor or something else, we’ll soon find out," he said.
Baker, however, said on Boston Herald Radio that he doesn't believe they'll end up challenging each other in a gubernatorial primary.
"I think that would be hard, given the size of the party," he said.
Scott Brown open to running for governor or 'something else'
Baker, who is openly considering a bid, has said he'll decide whether to run by Labor Day. A primary between the two would pit two of Massachusetts's most prominent Republicans against each other and deprive the party of one of its strongest possible contenders to challenge Sen. Ed Markey (D-Mass.), who is up for election to a full term after winning his seat in a special election this past spring.