The 29-year-old, who missed Monday’s match against Arsenal, has exhibited minor symptoms of the virus but is in good health and is getting better.
The club has, and will continue to follow, all protocols relating to COVID-19 and Thiago will remain in self-isolation for the required period of time.
LFC first-team doctor, Dr Jim Moxon, said: “It is the choice of each individual whether they reveal publicly the outcome of a COVID-19 test.
“We have followed all the protocols to the letter and Thiago is OK. He will be self-isolating now as per the guidelines and hopefully he’ll be back with us soon.”