The 30-year-old picked up the injury in Saturday's 3-0 win against Crystal Palace and the Reds will examine scans to discover the extent of the damage.
"I can't say now how long it will take, but not Tuesday and not the weekend," said Reds assistant Pep Lijnders.
"Let's get the scan results back and we have a proper diagnosis.
"A shame as well because he was taking the game [against Palace] by the hand, he was a proper playmaker in my opinion. A shame that we miss him."
Thiago was replaced by Naby Keita after 62 minutes in the win over the Eagles at Anfield.
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