Rodgers was again reluctant to discuss the deal, and he acknowledged Liverpool's weaknesses will take a number of transfer windows to address.
He said: "We know in this window it was never going to be fulfilled but I think yesterday probably highlighted that, when we do change the team around, that we don't quite have that bit of depth yet.
"It was another marker in the fact that we want to improve the group and that's something I'm sure we'll do over the coming windows.
"If we can add another player in this window, if not more, then great. If not then we'll look in the summer to keep the building process going."