As Goal.com exclusively revealed this week, the Reds are leading the chase for Chelsea forward Daniel Sturridge, who has become unsettled at Stamford Bridge.
When questioned on whether there would be any imminent news on signings, Rodgers told reporters: "There have been a whole raft of players being linked and only a few are real targets for us.
"The reality is we have only made three or four enquiries about players and hopefully can close out one deal this week which will be a real exciting one for the club, one the supporters will absolutely love."
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After Rodgers' predecessor, Kenny Dalglish, spent upwards of £100m on new talent during his ill-fated 18-month spell in charge, the Northern Irishman refuted suggestions that the club have a bottomless transfer kitty.
He added: "We haven't got a wheelbarrow full of money, there is not the money flying about [that] people think there is.
"There certainly won't be as many [signings] as is being labelled out there. We want to work with the great players we have here and make three or four tweaks in relation to the squad that can help the group.
"This is a club which is a way of life, it is not just a club where you turn up for two hours' training and then go away," Rodgers warned.
"You have to be prepared to come into the culture and philosophy of the club and if you don't, then it's not a problem, but this is not the right fit for you.
"I want players that are hungry to succeed and want to match the ambitions of how we want to move forward and the reality of that is there are very few players who can match that."I don't just want to identify a player and then let them come in at whatever cost. One of the things which distorts the reality of football is money.
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"I don't see the sense of a player coming in if we have to pay over the odds for him.
"There are many good players out there but not many who have the courage and bravery to play the way we want to."
He explained: "Both players came back. I had a chat with Alberto, he's a good guy. What's going to be important for every player is to have the steel and the mindset."