A poll released Monday shows that a slight plurality of the American public approves of President Obama's handling of the ongoing civil strife in Libya.

Forty-five percent of respondents in CNN/Opinion Research poll said they approve of the president's handling of the conflict compared to 40 percent who said they disapprove. Fifteen percent said they have no opinion.

The poll indicates that Obama has little margin for error with the public as the administration continues to weigh its broader response.

A handful of President Obama's 2012 GOP have pressured him to get tough with Libya and some lawmakers on Capitol Hill have pressured the president to institute a no-fly zone to prevent forces loyal Libyan leader Moammar Gadhafi to strike at rebel units and civilians from the air.

That option picked up momentum after the Arab League endorsed it this weekend. 

The administration has not ruled out a no-fly zone, but has expressed concern about some of the associated costs of enforcing it. The poll showed that 56 percent favor a no-fly zone enforced by the U.S. and other nations. 

But the public would not favor a ground invasion by the U.S. and other countries: 76 percent said they oppose such an option.

The poll surveyed 1,023 adults between March 11-13. The margin of error is three percentage points. The first question was taken of 508 respondents and the margin of error is 4.5 percentage points.