The latest poll by the Associated Press/NORC on the health care debate found that 13 percent of respondents back the Republicans' plan to repeal Obamacare before coming up with a replacement.
The survey, carried out July 13-17, showed that eight out of ten people want Republicans to approach Democrats and negotiate a replacement if their own efforts fail, AP reported.
"Since we are a nation that's founded on compromise, I don't see why we can't compromise on this," Valcee Cox, a Republican voter, told AP.
The Senate Majority Leader, Republican Sen. Mitch McConnell of Kentucky has raised the possibility of repealing Obamacare without a replacement after a previous draft health care bill failed to obtain the necessary support from within the GOP caucus to secure passage.
"When they talk about repeal and not replacing, that scares me half to death," Andrea Martin, who relies on government assistance for her disabilities, told AP.
A majority of respondents said they want Obamacare changed. 22 percent of Democrats stated they wanted it kept without any changes, while 64 percent said they would like it to be altered but to remain in place.
27 percent of Republicans want an immediate repeal of Obamacare, while 54 percent said they preferred to repeal it when a replacement was ready.
The poll also pointed to an increase in the number of people who believe that the federal government has a responsibility to provide health care for all.
62 percent said health care for all was a federal responsibility, up 10 percentage points over recent months; 37 percent thought it was not, a drop from 47 percent in March.
"When confronted with millions losing coverage, Americans are more supportive of the principle that the federal government should cover people," Robert Blendon of the Harvard T.H. Chan School of Public Health told AP.
The Congressional Budget Office, a non-partisan body, released an assessment July 19 stating that repealing Obamacare without replacing it would leave 32 million more people uninsured by 2026.
It also noted that 17 million more people would lose coverage over the next year.
President Donald Trump hosted Republican senators for lunch at the White House to discuss progress on health care. Meetings are also scheduled later on July 19 between Trump administration officials and GOP senators still opposed to the proposed health care legislation.
Trump stated that he preferred linking the repeal of Obamacare with replacement legislation.
Republican Sen. John Cornyn of Texas agreed, saying of the ongoing discussions within the GOP, "I think we're getting closer," according to CBS News.