(CBSNEWS) — Rick Santorum has pulled slightly ahead of Mitt Romney in Republican primary voters’ preference for the presidential nomination, a national CBS News/New York Times Poll shows.

Santorum has the support of 30 percent of GOP primary voters in the poll, followed by Romney at 27 percent. Ron Paul is now in third at 12 percent, followed by Newt Gingrich at 10 percent.

Just three points over Romney, Santorum’s lead in the national survey is within the poll’s margin of error.

The socially conservative former Pennsylvania senator received the backing of just 16 percent of Republican primary voters in a similarly worded question last month, leaving him in third place behind Gingrich.