Rep. Patrick MurphyPatrick Erin MurphyBipartisan panel to issue recommendations for defending US against cyberattacks early next year First Iraq vet to serve in Congress endorses Buttigieg Sen King, Rep Gallagher to chair bipartisan commission to defend US in cyberspace MORE (D-Fla.), a top Republican target for 2014, has signed on as a sponsor of legislation that would allow people to keep their health insurance plans under ObamaCare.

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Murphy is only the third Democrat to back the bill, following Reps. John BarrowJohn Jenkins BarrowRepublican wins Georgia secretary of state runoff to replace Kemp The most important runoff election is one you probably never heard of Our democracy can’t afford to cut legal aid services from the budget MORE (D-Ga.) and Mike McIntyreDouglas (Mike) Carmichael McIntyreGOP picks up retiring McIntyre's seat in NC Seven Dems vote to create Benghazi panel Lawmakers prep for big race on Sunday MORE (D-N.C.), who are also vulnerable in the midterm elections.

Both Barrow and McIntyre voted against the healthcare law in 2010.

Murphy's office could not be reached for comment.

The "keep your plan" bill has picked up increasing support since introduced and now has 161 co-sponsors. A vote on the bill is set for Friday.

Rep. Paul RyanPaul Davis RyanThree-way clash set to dominate Democratic debate Krystal Ball touts Sanders odds in Texas Republicans pour cold water on Trump's term limit idea MORE (R-Wis.) has also signed on as a co-sponsor, potentially giving cover to some conservative Republicans wary of backing a bill that fixes ObamaCare, rather than dismantling it fully.

House Democrats are largely opposed to the measure, however. House Minority Whip Steny Hoyer (D-Md.) said Tuesday he’s leaning toward opposing the bill but emphasized that he hasn’t seen the final version yet.

And the White House has come out against the bill, with spokesman Jay Carney on Tuesday arguing that allowing Americans to keep their current plans would sabotage the minimum coverage requirement in the new healthcare law.

Still, the thousands of Americans facing dropped coverage due to ObamaCare have prompted bad press and national backlash against the president and Democrats, who have seen the political advantage they saw post-shutdown erased in the wake of the rocky ObamaCare rollout.