The Anfield giants, who narrowly missed out on their first league title since 1990 last season, have already spent £89m on Adam Lallana, Dejan Lovren, Lazar Markovic, Emre Can, Divock Origi and Rickie Lambert, having sold striker Luis Suarez to Barcelona for £75m.
But speaking after the penalty shoot-out win over Premier League champions Manchester City in New York, Rodgers revealed his business in the transfer market is not yet done.
"We still have some positions that we want to fill within the squad so that by the end of August we have a strong group of players to go forward with," he said.
"We've still got some business to do. We've brought in specific players for specific roles, players that have the profile of how we work.
"A lot of the players that have come in, the transition has been very smooth and that should make the adjustment that bit easier.
"Of course some of them are young and coming to a different country, like Emre Can. That will take a little bit of time. The players are transitioning very well, though it will take a little bit of time."
Liverpool kick off their domestic campaign by playing host to Southampton on August 17.