Rodgers, who took over from Kenny Dalglish last month, has already said he will give Joe Cole a chance to impress him in pre-season when he returns from his loan spell at Lille this summer.
And the former Swansea City boss has been linked with a swoop for Gylfi Sigurdsson, who enjoyed a fruitful six months at the Liberty Stadium last season after joining the Welsh club on loan from Hoffenheim in January.
“I like to very much keep my counsel on potential targets,” he told Liverpool’s website. “I think there are a few players who can come in and improve the group straight away.
“I know the types of player I need to bring here to make us function well and that’s something myself, the club and the board will look at.
“I know what we’ve got, more or less, in the squad, but I also know there are a couple of signings that could really improve what we do.
“That’s something we’ll work together on over the course of the summer and hopefully we can get one or two in.”
Rodgers admitted his interest in bringing Sigurdsson to Anfield but warned that the 22-year-old Iceland midfielder will not necessarily be available in the market.
“First and foremost, Gylfi is a Hoffenheim player,” Rodgers said.
“I took him on loan for the second half of last season and he did very, very well. He scored seven goals and made a real, positive contribution.
“I wanted to sign him for Swansea but, like I’ve said to him and his representatives, that has to be his first port of call.
“If he comes into the market for whatever reason – and I’m sure there’ll be a number of clubs interested in Gylfi – then of course I would like to be in a position to put our case here at Liverpool to sign him.
“But I’ve always said, I think he’s a player Swansea have had an agreement with and they have to have every chance to try and sign him. That’s only right.
“If anything changes from that, we’ll look at it from there.”
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