"Trying to negotiate a lasting peace between the Palestinians and Israelis is tough. But it was a hell of a nice break from health care," Biden quipped.
Members of Congress are under increasing pressure from all sides on the health care bill. Some union leaders are telling wavering Democrats that if they vote against the health care bill, they might not get any union support in November's mid-term election.
"We're telling them that we supported them on that basis and if they can't stand up for their promises, then we have to consider what else we can do," said Andy Stern, president of the Service Employees International Union.
Others are making a much darker prediction about what the health care debate could do to Obama's presidency.
"This is not health care reform. The bill is a joke, but at this point it's really just turned into this game between the Republicans trying to do everything they can to stop President Obama from doing some good for this country and frankly, if this -- if this goes down I don't know how the president will recover from that and I don't know what else we're going to be able to get through," liberal filmmaker Michael Moore told CNN's Wolf Blitzer Wednesday.
The Democratic Senate bill includes a tax on insurance companies for high-cost health care -- so-called Cadillac insurance plans. The White House is proposing to add a transition period for everyone, not just union members, who had opposed the tax. The tax wouldn't start until 2018; it would be for family insurance plans costing $27,500 and more, with exceptions for high-risk professions and others. At the same time, instead of raising $150 billion in 10 years, it would bring in just $30 billion, per the White House proposal. It is unclear what the House Democrats are proposing since the entire bill has not yet been released.
ABC News' Jonathan Karl, Jake Tapper and Devin Dwyer contributed to this report.