Senate Democrats facing re-election next year in states that supported Mitt Romney's presidential bid promised to defend Obamacare during the upcoming budget fight by voting against any measure that defunds the health care law.

"We're not going through another [vote to repeal Obamacare], 43rd or 44th --- no," Sen. Mark Begich, D-Alaska, told the Huffington Post. Sen. Mark Pryor, D-Ark., made the same pledge, noting that Obamacare is "the law of the land," though he believes it needs improving.

Sen. Kay Hagan, D-N.C., and Sen. Mary Landrieu, D-La., also promised to vote against the House-passed continuing resolution that defunds Obamacare, according to HuffPo.

If they achieve nothing else, the conservatives who have pushed for the defunding resolution will regard that vote as a political victory heading into 2014.

"It's going to create a very difficult vote for red-state Democrats," an aide to one of the pro-defunding senators told the Washington Examiner, speaking Tuesday on condition of anonymity.

"At the end of the day, there will be a vote to support defunding or to oppose it, and Harry Reid is going to force his members to vote his way, and then we're going to have those votes. We're going to have the votes from Begich and from Kay Hagan and from Pryor that are voting to shut down the government in order to protect Obamacare. So, we're going to win something out of this," the aide said.