Rodgers and the club's recruitment staff aren't ruling out signings in the fast-approaching January window.
Asked about whether the club are considering options, during the pre-match press conference ahead of the Arsenal game, Rodgers replied: "It's just constant. It's something that is continual.
"I am very, very happy with the squad that we have, where we have taken them over the last eight months and still the improvements left to be made.
"But of course, every window provides an opportunity. If there is someone available that we can strengthen the squad with, then of course the club will be very keen to look at that.
"But of course, it all boils down to the availability of a player and affordability. We are not a club that can do what some other clubs can do at the higher level of this league.
"We are always looking to improve the squad and if we can do something, great, if not, I'm happy with the players we have got."