The Reds are not involved in European competition and the last time that happened was in 2013-14 when Rodgers came close to winning the Premier League.
For that reason he believes Jurgen Klopp has a great opportunity to crack the top four, with most of their rivals having to balance the requirements of European football.
“I think Liverpool have a great chance to qualify this season,” said the Celtic boss.
“It reminds me very much of the season when we finished runners-up, 2013-14, where you want to be in Europe, but if you don’t have European football you have the possibility to work even more on the training field and work with the players much closer.
“You have less games, you can train them more and practise more and then hopefully that allows your performance [to improve].
“I think Liverpool this season have made some good signings and that, along with the possibility to work more, gives them a great chance of qualification for the top four.”