Manager Roy Hodgson plans to make changes in the forthcoming transfer window but much will depend on whether the club can bring in the right type of player without paying over the odds, although that is not to say principal owner John Henry and NESV chairman Tom Werner will not release funds for the right individual.
"We have a pretty good idea of what we would like to do and we have identified targets," Comolli said. "If there's a possibility of us getting a world-class player, we will have the backing."
He added: "John and Tom want to win - and you win with top players.
"If it can be done in January, great. If it can't because we feel it is the wrong market or players are overpriced, then we will wait.
"I'm not going to say we won't do anything in January because that is not the idea at the moment.
"We will do what is right for the long term. What is right for the long term can be something we do in January."
Comolli arrived from French club St Etienne a fortnight ago having previously worked in England with Arsenal and Tottenham, and his immediate priority has been to help draw up list of potential signings in January. A longer-term brief is to generate a steady flow of quality youngsters from the academy to the first team.
From what he has seen in his short period at Anfield, the Frenchman does not believe the problems are as bad as they are sometimes portrayed.
The club had a difficult start to the year but appeared to have bounced back from that only to lose at Stoke on Saturday.