However, with the Champions League looming next season and another tilt at the Premier League title expected, the Reds need to strengthen further with more high-quality new recruits.
Rodgers seems well aware of this and told Sky Sports News on Monday, via TEAMtalk.com, that more business needed to be done:
We've targeted players, we've signed some and we'll have more signings to come over the course of the pre-season, the idea is by the end of August we'll have the squad together and it will be a really exciting time for us next season.
Obviously returning to the Champions League is fantastic for the club and for the supporters but we're into four competitions next season and we want to do really well and that's going to take a few more signings to bring in and as soon as we sign them you will know.
Here is the latest news on a handful of Liverpool's primary reported targets as Rodgers looks to further bolster his squad.
Lallana Deal All but Done
Long-rumoured Anfield target Adam Lallana is reportedly just hours away from a switch to Liverpool from Southampton having passed a medical at the weekend, the BBC's Adam Blackmore reported on Monday:
The deal is supposedly worth £25 million, per Alex Richards in the Daily Mirror, and its completion will end constant speculation surrounding the 26-year-old's future.
Last season Lallana scored nine goals and provided six assists, per WhoScored.com, as Saints claimed an impressive eighth-place Premier League finish. He was part of Roy Hodgson's England squad that competed in the World Cup in Brazil before being knocked out at the group stages.
ESPN's Kevin Palmer believes Lallana could be a top signing for the Reds, and he certainly looks set to fit well into Rodgers' fast-paced counter-attacking style:
Lallana would be joining former teammate Lambert at Anfield; the two linked up well under Mauricio Pochettino last season.
Sanchez Fancies Gunners
Chilean World Cup star Alexis Sanchez has been widely rumoured to be on his way out of Barcelona this summer with various Premier League sides—including Liverpool—reportedly interested in signing the forward.
However, Jefferson's reports suggest that Arsenal is Sanchez's Premier League club of choice should he move from the La Liga giants in the summer.
The 25-year-old would be a fine addition to any side, proving his quality during the World Cup as Chile lost to Brazil on penalties in the last 16. Sanchez bagged 19 goals and 10 assists in La Liga last season, per WhoScored.com.
Lazar Markovic on Rodgers' Radar
Rodgers is reportedly keen on signing Benfica's Lazar Markovic despite the imminent arrival of Lallana at the club.
Previous reports had suggested the 20-year-old would only be pursued if the Lallana deal fell through, but according to Jack Wilson in the Daily Star, the Northern Irishman now wants both:
The 20-year-old is understood to want to make a move to Anfield and is valued at around £25m. The Serbian star left Partizan Belgrade for Benfica last year and impressed at his new club. He netted seven goals last season and was lined up by Chelsea in January.
While football writer Jan Hagen rates the youngster very highly, he does not believe he is ready yet for a starting berth at Anfield:
However, Rodgers is clearly in the market for players he can work with in the long-term, not simply as quick fixes who will be good for one or two seasons.
He has a clear transfer plan and is sticking to it, an advised way to proceed as he looks ahead to what will be a challenging but exciting season for the Merseyside club in 2014-15.