Limbaugh added that even if Brewer does veto the bill, liberals would still be unhappy.
"I mean, you might think on the face of it it would make her a hero with the news media and the rest of the left, and maybe so, but for five minutes, and then she'll go back to being a near-criminal conservative Republican or worse," he said, adding that some have criticized her for considering a veto for economic reasons.
"The homosexual advocates want her to veto it on the basis of human rights, civil rights, gay rights, and what have you. So even vetoing the bill won't be good enough. She has to veto the bill for the right moral reasons."
If the bill does get signed into law, liberals will disregard it anyway, according to Limbaugh.
"The nearest liberal judge will declare the law to be unconstitutional. If there's one thing that we've learned by now, ladies and gentlemen, the left does not accept laws it doesn't like. They just don't," he said.