The 32-year-old made his first appearance of the season as a late substitute in Sunday’s defeat at Arsenal but sustained a muscle problem.
Liverpool are waiting to see how serious it is but Thiago, who had been out with a hip problem, faces another spell on the sidelines.
The former Barcelona and Bayern Munich midfielder has not started a match for over a year. His contract ends in the summer, when he is likely to leave Anfield.
The Premier League leaders are also likely to be without Dominik Szoboszlai against Burnley on Saturday but Wataru Endo will be able to return after Japan were knocked out of the Asia Cup.
“You have to process it and you have to see what we did wrong, and unfortunately there was quite a bit that we didn’t do the way people have probably been used to watching [from us] this season,” said the Scot.
“We’ve been very consistent in the way we’ve played and the way we’ve gone about our business. I think [on] Sunday we weren’t that team that everyone has become used to kind of watching again.
“Yeah, it wasn’t a great performance; we didn’t start the game well and we go in at half-time and probably didn’t really deserve [to be level]. Then you start the second half really well and then obviously everything else unfolded.