Albanian journalists and a rights' group asked the country's highest court Tuesday to declare its ban on TikTok unconstitutional, officials told AFP.
Albanian authorities ordered all internet service providers to block access to the social network on March 12.
But the ban is not yet fully in place because of technical challenges, Prime Minister Edi Rama said.
It was still possible to access TikTok in Tirana Tuesday.
"We are convinced that the decision to close down TikTok goes against freedom of expression," Isa Myzyraj of the Albanian Journalists' Association told AFP.
The complaint, filed by the journalists' association, the Balkan Investigative Reporting Network (BIRN) outlet and the Centre for Legal Empowerment NGO, does not delay implementation of the ban, the court told AFP.
Rama first announced the ban last December after a spat on social media led to the killing of a 14-year-old student and another being injured in a fight near a school in the capital Tirana.
The ban was strongly criticised by the opposition, which protested in Tirana earlier this month against it as they fear it could hamstring upcoming parliamentary elections due in May.
TikTok has a huge following among young Albanians attracted to its never-ending scroll of ultra-brief videos. It has more than one billion active users worldwide.
But the Chinese-owned platform has been regularly hit by controversy.
The app has faced allegations of espionage in the US and is under investigation by the European Union over claims it was used to sway Romania's presidential election in favour of a far-right candidate.
TikTok is regularly accused of confining users to content silos via an opaque algorithm, and of promoting the spread of misinformation, along with illegal, violent, or obscene content -- particularly among young people.
AFP, among more than a dozen other fact-checking organisations, is paid by TikTok in several countries to verify videos that potentially contain false information.