The Reds have already brought in four new faces this summer in the shape of Simon Mignolet, Kolo Toure, Luis Alberto, and Iago Aspas and Rodgers is keen to bring in some more "exciting" arrivals to add to his squad.
Rodgers feels more quality is needed to be brought in if Liverpool are to challenge for a top four finish ahead of the new season.
"Nothing is close but plenty of work is going on," Rodgers told the Liverpool Echo.
"How near or far we are, I will find out in Melbourne. There is daily dialogue going on but I am confident that we will get the one or two players who will really excite and complete the jigsaw.
"It was great to make the four signings so early on but we have still got some more work to do to strengthen the team."
Rodgers admits he was bitterly frustrated to miss out on top target Henrikh Mkhitaryan after the Armenian snubbed a move to Anfield in favour of last season's Champions League finalists Borussia Dortmund.
"If you are not in the Champions League, that naturally makes it tougher," Rodgers added.
"We all have the same objective. We all want to be there. If you are a manager or player, you want to be at that level.
"That is always the case when you are going for good players. But I'm sure good players still want to come to this club.
"There has been lots of players linked but the fact is we really only had one (top target) and unfortunately we didn't get the chance to speak to that player before he moved from Shakhtar.
"We had spoken to Shakhtar, we had got permission to speak to him but unfortunately I didn't get the chance to sit down in front of him. It was already in place with Dortmund so that was disappointing.
"I always feel that if I can get in front of the player, I can sell the club and what our project is here.
"Hopefully that is exciting for the players. So (missing out on Mkhitaryan) is the only disappointment. I believe there will be others."