Even its use as an ingredient in some foods could be outlawed.
The Medicines Control Agency (MCA) has launched a public and industry consultation on the future of the herb - used for many years as a remedy for anxiety and restlessness.
The Committee for the Safety of Medicines (CSM) looked at its safety record in December, and stocks of the herb were withdrawn from shops.
However, the MCA's investigations have revealed 68 cases worldwide in which Kava-kava has been linked to liver problems.
These have led to six liver transplants - and three deaths.
In the UK there have been three suspected cases of Kava-kava linked liver toxicity.
People or companies with a view on the herb have until the end of September to make their views known to the MCA.
Firm warning
In the meantime, Professor Alasdair Breckenridge, chairman ofthe Committee on Safety of Medicines, is urging consumers not to take the supplement.
He said: "Given the safety concerns surrounding the use of medicinal products containing the herbal ingredient Kava-kava, our advice is that it would be prudent for anyone taking such products to stop taking them.
"There should not be any adverse effects from stopping Kava-kava abruptly.
"If anyone taking Kava-kava feels unwell or has concerns about possible liver problems, they should stop taking it and seek medical advice."