WASHINGTON (CNN) -- Rudy Giuliani's message to social conservatives: If you don't like my views, don't vote for me.

The Republican presidential frontrunner Thursday reaffirmed his support for federal funding for some abortions, a position which puts him at odds with many conservatives. During a press conference at the State Capitol in Columbia, South Carolina, he said he didn't expect to win over 100 percent of the voters.

"If that's real important to you, if that's the most important thing, I'm comfortable with the fact that you won't vote for me," the former mayor said.

Although Giuliani said he is does not like abortion, he said he would not change the standing law. Specifically, he said would not change the Hyde amendment, which restricts federal funding for abortion to cases of rape, incest and to save the life of the mother.

"I'm against abortion, I hate it, I wish there never was an abortion and I would counsel a woman to have an adoption instead of an abortion," the former New York mayor said. "But ultimately I believe it is an individual right and the woman can make that choice."

Giuliani also said this to CNN's Dana Bash in an interview Wednesday.

The current law also leaves the decision up to each individual state and Giuliani said he agreed with that. South Carolina is in the process of passing a law that would require pregnant women to see an ultrasound before having an abortion.

-- CNN's Lauren Kornreich