New York Gov. David Paterson (D) has a razor-thin lead over New York Attorney General Andrew CuomoAndrew CuomoOvernight Health Care: Trump to take executive action after coronavirus talks collapse | Vaccine official says he'd resign if pressured politically Cuomo says New York schools can reopen in-person this fall Cuomo calls on wealthy to return to New York City: 'You got to come back!' MORE (D) in a Siena poll of their potential 2010 gubernatorial primary.

Paterson gets 35 percent of the support of registered voters while Cuomo gets 33 percent. The difference is within the 3.9 percentage point margin of error.

Cuomo, however, fares better than Paterson against possible Republican candidate Rudy Giuliani. Cuomo would defeat Giuliani, the former New York City mayor, 48 percent to 39 percent. Paterson would beat Giuliani 44 percent to 42 percent.