Torres was due to have a scan today after pulling up with an adductor injury in the closing stages of Spain's World Cup final victory on Sunday.
The 26-year-old, who had only entered the action in Johannesburg as an extra-time substitute, looked in clear discomfort at the time but Liverpool are positive having spoken to Spanish training staff.
The club's newly-appointed head of sports medicine and sports science Peter Brukner told LFC TV: "It certainly looked like it might have been bad but it seems not too bad.
"He certainly walked up the steps to receive his medal without too many problems, so we are optimistic it is not going to be too bad.
"But really we can't say too much until we have had him properly assessed."
Members of the Liverpool medical staff are now to fly out to Spain to meet Torres, who is beginning an extended break following the World Cup.
Torres had a disappointing tournament in South Africa from a personal point of view, failing to score and losing his starting place for the semi-final and final.
Having endured an injury-plagued season at Liverpool, the former Atletico Madrid forward looked some way short of match sharpness.
Torres was troubled by a groin problem before Christmas and then had two knee operations in the space of four months before the end of the campaign.
However, after speculation linking the player with a big-money move away from Anfield, new manager Roy Hodgson will at least have been encouraged by seeing Torres celebrating World Cup success wearing a Liverpool scarf.