Rodgers told the Liverpool Echo: "It's not a case of needing to bring in another coach, a defensive coach or anything like that.
"I wouldn't go down that route. The bottom line is our team is based on balance and at times it's been poor. There is a collective responsibility to defend better and that's what we have to do.
"Our problem and the issue we have which we need to find the solution for is our lack of coaching time. Take this week, we played Wednesday night [against Real Madrid], the players physically recover on Thursday, and that leaves us with only a short period of time on the training field before we've got the game on Saturday."
Rodgers's side host Hull City on Saturday.