Rodgers has been heavily linked with a move for Internazionale youngster Philippe Coutinho, while Blackpool forward Thomas Ince remains a target for the 18-time English champions.
The 39-year-old is hoping to further strengthen his squad before 1 February and ruled out any departures – aside from a sole loan deal.
“We hope to do some business between now and the end of the month. The owners have been brilliant and supporting,” said Rodgers.
“We know we still need one or two more additions. The club is doing everything it possible can to assist me in that. If we can, great. If not, we’ll have to review it again in the summer.
“We’ve got a young player who’ll go out on loan to get some experience but apart from that I don’t expect people [to go]. One or two, maybe, to come in.”
Rodgers was keen to stress the importance of finding a balance between improving the club in the short-term and looking to safeguard its future.
“The real plans are for now. Short term we want to improve and develop. You can see that, we brought in Daniel and he’s been excellent so far,” added Rodgers.
“We got the recruitment team in, the lines are very clear, everyone has an understanding of where we’re at and it’s working how we envisaged it to work.
“There is a small group who communicate a lot and go through targets, and there is a small group who’ll decide what players we’re going to bring in. It’s worked very, very well, and that relationship will only get better going forward.”
The former Swansea manager also praised the Liverpool owners for acting swiftly to complete a deal for Sturridge, with the striker already having scored three goals for his new club.
“We acted quickly bringing Daniel Sturridge in and he’s made a great impact, and proven that the owners were right to fund the money for him,” he added.
“£12m for a player like Daniel Sturridge is a real bargain and I think he’ll prove that over the next couple of seasons.”