BOSTON (CBS) – As President-elect Joe Biden begins putting together his cabinet, there is some buzz that Sen. Elizabeth Warren could fill a position. That would leave Republican Gov. Charlie Baker with the task of temporarily filling her position.

There is a new proposal that would require Gov. Baker to pick a senator from the same party as the candidate leaving.

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The governor told WBZ-TV’s Jon Keller if it came to that, he would veto it.

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“Every time this particular issue comes before the commonwealth, the legislature changes the rules based on the circumstances at that particular time,” Baker said. “It’s a bad look for everybody and if they were to send legislation to change the rules yet again, you know and I don’t say this very often, I’d veto that.”

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The proposal is an amendment attached to the budget, which is under consideration right now in the House.