(CNN) Missouri is poised to become the latest Republican-led state to enact a strict anti-abortion law, setting up a series of legal battles that could lead to the Supreme Court reconsidering Roe v. Wade.

The Missouri House on Friday approved a bill that had already cleared the state Senate, sending it to the desk of Republican Gov. Mike Parson, who has said he will sign it into law.

The bill, HB 126, would prohibit abortions after eight weeks of pregnancy -- after a heartbeat is detected -- though many women often don't know they're pregnant in that time. The bill includes exceptions for what it defines as medical emergencies, such as cases when the mother's life is at risk or she is facing serious permanent injury, but not for pregnancies that are the result of rape or incest.

Missouri Gov. Mike Parson told reporters Friday that he would sign the bill, calling it "just a matter of when we get all the bills in."

When asked whether he was comfortable with the bill's lack of exemptions for rape and incest, he said that he would sign the bill as is because "I'm the governor of the state of Missouri and that's what I do."