"There can't be," he said. "The American people have already said overwhelmingly, they reject this bill. They reject government coming in and replacing the system that we know. They reject the notion that somehow in these economic times that we've got to spend $1 trillion when no one can afford it. ... They reject the notion that we ought to impose higher taxes on small businesses right now especially. They reject the notion that there should be Medicare cuts, which is all a part of this bill."
Sixty-three percent of Americans say lawmakers in Washington should keep trying to pass a comprehensive health care overhaul plan, rather than giving up on it, according to the latest ABC News-Washington Post poll.
On the jobs front, Cantor said House Republicans will weigh in on the bill when it's presented to them by House Speaker Nancy Pelosi, D-Calif.
After months of bickering and deadlock, the Senate passed a $15 billion jobs bill Monday with the help of new Republican Sen. Scott Brown of Massachusetts. It was the first job-creation bill the Senate has passed since approving the stimulus plan a year ago.
The bill includes a $15 billion tax cut for companies that hire new workers, tax cuts for small businesses that buy new equipment, and funding for highways. Economists say the bill could help create 250,000 jobs.
Only five Senate Republicans voted for the bill, including Brown, whose vote was heralded as "the beginning of a new day" by Senate Majority Leader Harry Reid, D-Nev.
But Cantor wouldn't say whether House Republicans will support the bill, adding that they have to first see what Pelosi presents.
"I'm not sure that the Democrats in the House will support this," Cantor said. "There's a lot of things that we can do to help this economy, to help small businesses get back on their feet. The kind of policies that are the central part of this Senate bill don't make a lot of sense to small business people that I've spoken to."
"By targeting the tax credits the way that the Senate bill does, you're not going to help small businesses that are having trouble keeping the lights on."
ABC News' Jonathan Karl and Z. Byron Wolf contributed to this report.