Alabama's law banning abortions in most circumstances remains blocked by a federal judge.
The injunction prevented the pro-life law from going into effect November 15 while Thompson considers a lawsuit challenging the ban as unconstitutional, the report said.
Planned Parenthood and the American Civil Liberties Union sued to block the law shortly after Alabama Governor Kay Ivey signed it in May.
The law makes abortions a felony, though it allows exceptions if the mother’s life is at risk, and pregnant women would not be punished for having an abortion, but abortion providers could face prison time for violations.
A spokesman for Alabama Attorney General Steve Marshall said the state did not appeal the injunction because it wants time to build a record in the case to try to argue that previous cases guaranteeing the right to abortion were wrongly decided.
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Marshall has said that Planned Parenthood and the ACLU lack legal standing in the case.
The bill's sponsor, State Rep. Terri Collins, said the law was intended to overturn Roe v. Wade at the Supreme Court level.