The Spaniard completed 90 minutes at Anfield but underwent a scan on Thursday
and is now due for another spell on the sidelines having only just returned
from five weeks out with a similar problem.
Defender Fabio Aurelio will be out for a fortnight after picking up a calf
problem in the same match.
A club spokesman said: "Fernando has a strain in his right hamstring and
will be out of action for between two and three weeks. Fabio has a calf
strain in his left leg and will be out for two weeks."
Torres' latest setback will be a blow to manager Rafael Benitez, who was
hoping the 24-year-old would be able to re-establish the partnership with
captain Steven Gerrard that worked well last season.
Gerrard scored the winner against Marseille in the 1-0 Group D victory that
ensured Liverpool will be in the last 16.
But Benitez revealed after the game that Torres' role in his tactics was not
working to the level of last season, when the Spaniard hit 33 goals and
Gerrard chipped in with 21.
If Liverpool are still in this form come February, their participation in the
knockout stages could be a short one.
Benitez said: "Clearly the main thing was to do the job and progress. But
we didn't control the game or play well.
"We were too excited, we wanted to score the second goal with one pass.
We should have passed more and been patient, and then find Torres.
"But we were trying to use him too quickly, the ball was hit straight up
to him, and meant we kept conceding possession.
"We were giving the ball away and having to run back into defence, then
doing the same thing over. It's difficult to control a game like that."
Benitez added: "We are concerned with our home performances. But we could
have beaten Fulham on Saturday even though we were not playing well.
"Against Marseille some things were not possible. But at least we now
have the chance to look at what went wrong. We have time before the next
stage to put right what has been going wrong."