"I think in the long run, the pro-life side will win," Hume said on "Tucker Carlson Tonight."
Ivey, a Republican, said in a statement that the law is a "powerful testament to Alabamians’ deeply held belief that every life is precious and that every life is a sacred gift from God."
The law will make nearly all abortions in the state illegal and make performing one a felony, punishable by up to 99 years or life in prison unless the mother’s health is at risk, with no exceptions for women impregnated by rape or incest.
"I also don't think this Alabama gambit is going to work," Hume said, adding that a case on the matter is likely to "get to trial court - and soon."
"And, a judge bound by Roe v. Wade, will strike it down," he said.
Hume said the potential case will then move to an appellate court which he said will not reverse the initial court's decision.
"The Supreme Court will then, in my judgment, decline to hear [the case] and that will be that," Hume predicted.
Hume reminded host Tucker Carlson of President Clinton's prescription of abortion as "safe, legal and rare."
Hume said the procedure is "by and large safe" and "certainly legal," but "certainly not rare" and lamented that tens of millions of human lives had been "snuffed out by abortion" since the 1973 Roe v. Wade Supreme Court decision.