The United States Court of Appeals for the Fifth Circuit has suspended the temporary injunction on the controversial HB 20 law that a previous court blocked from going into effect last year.
This is the possibility, for members of social networks, to sue the platform if this post censorship or suspends its profile for political reasons.
The law's first supporter was Donald Trump, who was banned from Twitter in January 2021.
In recent days Elon Musk had claimed that it was a mistake to ban the tycoon from the microblog.
The HB 20 law affects all web services that have more than 50 million active monthly subscribers and are mainly based on user-generated content.
This includes networks like Facebook but also many smaller sites and apps.
The standard also applies specific rules to e-mail providers.
Tech industry trade groups NetChoice and the Computer and Communications Industry Association (CCIA) had managed to block the law in court in 2021. A victory overturned by the Fifth Circuit Court of Appeals.
HB 20 refers to decisions made by social media and other platforms after its entry into force, so injured users cannot sue apps for past events.
Critics of the political move bring up the First Amendment: "Texas law violates the First Amendment because it forces social media to publish speeches they don't want to follow up. Worse, the decision would give the government ample power to censor and distort public discourse, "said Scott Wilkens, senior attorney at the Knight First Amendment Institute as reported by The Verge.