The Reds manager has been active so far in the market, spending around £90 million to land seven new players ahead of a term that includes a first Champions League campaign since they were knocked out of the group stages in the 2009-2010 season.
The Northern Irishman has brought Lazar Markovic, Adam Lallana, Rickie Lambert, Dejan Lovren, Javier Manquillo and Emre Can to Anfield already, while Divock Origi will spend the season on loan with Lille following the completion of his £10 million deal at the end of last month.
However, Rodgers is still actively searching to find a replacement for Luis Suarez, who left for Barcelona for around £75 million last month, and the Anfield club pulled the plug on a deal for Queens Park Rangers striker Loic Remy at the 11th hour amid fears over the France international's medical results.
A recent report claimed that Liverpool were considering a shock move former Chelsea striker Samuel Eto'o, and Rodgers told the club's official website that plans are afoot to add to his ranks before the September 1 deadline.
He said: "We would still like to do some business. But I'm certainly happy with where we're at with the squad at the moment. We've still got players to come back from injury.
"Across the board we still want to add a little bit more depth to what we have. We hope to do some more business."
Liverpool have been repeatedly linked with a £16 million move for Sevilla left-back Alberto Moreno and recent reports claimed that the Spaniard will put the finishing touches on his move to Anfield after their European Super Cup meeting with Real Madrid in Cardiff on Tuesday evening.
The five-time European Cup winners were also linked with Wilfried Bony earlier in the window, but were understood to be unwilling to meet Swansea City's £19 million valuation of their Ivory Coast striker.
Liverpool, who signed off from their pre-season preparations with an emphatic 4-0 win over Borussia Dortmund on Sunday, host Southampton on Sunday in their opening fixture of the new Premier League season.