Celtic are hoping to make at least one more addition today.
The Bhoys have until 11pm this evening to register their squad for the next round of Champions League qualifying.
And Rodgers is determined to have made some improvements to his team by then, with the addition of a centre-back likely.
"Hopefully, that is what we are looking at,” Rodgers said, when asked whether he wanted to sign a centre-back before the Champions League deadline.
"There is no doubt we need one or two more in that I want to bring into the team so let's hope we can do something before that (window) closes tomorrow.
"That would be the plan, hopefully we could do that and that would be a great boost to the squad.”
Celtic got through to the next round of qualifying by beating Lincoln Red Imps 3-0 at Parkhead yesterday.
Rodgers’ side will now take on FC Astana, as they seek to book their place in the group stages of the competition.
Celtic currently have a problem at centre-back, with Rodgers’ options very limited.
The Bhoys have both Dedryck Boyata and Jozo Simunovic sidelined with injuries, while Efe Ambrose is totally out of form.
Celtic have been linked with the likes of Liverpool defender Kolo Toure and Blackburn Rovers’ Shane Duffy, as they seek a new centre-back.