Nearly 75 percent of Americans surveyed in a Reuters/Ipsos poll believe medics returning to the United States after treating people with Ebola should be quarantined, and 80 percent believe the healthcare workers' movements should be controlled.

The findings show broad support for the type of controversial new screening rules announced by the governors of New York and New Jersey for people arriving at New York City's international airports from the three West African countries where the virus has killed nearly 5,000 people.

Under the rules, state health officials are ordering anyone who has had direct contact with Ebola into a mandatory quarantine of up to 21 days, at home in some cases, even if they have no symptoms.

A quarter of poll respondents thought quarantines were unnecessary for healthcare workers, and about one in six respondents thought such workers should neither monitor their health themselves nor be actively monitored by officials, Reuters reported.

The poll, which was conducted online with 1,681 people who chose to participate between Oct. 30 and Nov. 3, did not ask whether quarantines should be mandatory or voluntary. Respondents were asked specifically whether health workers returning from West African countries with Ebola should have their travel and movements controlled.

U.S. President Barack Obama's administration and many public-health experts have criticized mandatory quarantines, saying they are unhelpful because a person without symptoms cannot spread the virus.