An article on NPR states:
Most doctors — 63 percent — say they favor giving patients a choice that would include both public and private insurance. That's the position of President Obama and of many congressional Democrats. In addition, another 10 percent of doctors say they favor a public option only; they'd like to see a single-payer health care system. Together, the two groups add up to 73 percent.
When the American public is polled, anywhere from 50 to 70 percent favor a public option. So that means that when compared to their patients, doctors are bigger supporters of a public option.
Link to NPR story: