The Reds currently sit third in the table after 14 matches, having won nine, drawn three and lost two matches this season to date.
When asked about his former side’s chances of glory in 2016/17, Rodgers spoke positively about them, praising the experience and quality within the squad.
“Very close, very close,” he said.
“It’s just unfortunate the other day, I thought they were excellent in the first half [against Bournemouth].
“You get to 3-1, I’ve had similar games there myself, we looked like we were in control and then you lose them.
“Obviously they’ve got one game a week, they can really focus on that, and I think they will be very, very close.
“As I’ve said, he’s done great Jurgen, he’s got them really working, got them focused and they’ve got big quality in the squad so I’m sure they’ll be in with a great chance.”
Rodgers himself came agonisingly close to leading Liverpool to title glory in 2013/14, with the Reds’ fate in their own hands with three matches remaining.
Klopp is now the man tasked with winning the prize that has been missing at Anfield for so long, and he will need a response from his players when Liverpool host West Ham on Sunday.