Liverpool's director of football strategy Comolli was brought in earlier this month to oversee recruitment and the development of the academy.
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.
But that is not to say principal owner John Henry and New England Sports Ventures 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.
"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.
However, Comolli likes to take a more measured view of things.
"The club is not in a bad state. We've had some great results. It's not in ruins. Everything is there to be successful," he told BBC Sport.
"We have to win and bring back trophies. For a club this size, it's not about top six or top four - we must win everything that's winnable."