The Supreme Court seems open to a Texas law aimed at blocking kids from seeing online pornography. But the justices could still send it back to a lower court for more consideration of how the age verification measure affects adults’ free-speech rights.

The U.S. Supreme Court is set on Wednesday to hear a challenge on free speech grounds to a Texas law that requires pornographic websites to verify the age of users in a case testing the legality of state efforts to keep minors from viewing such material online.