However, when quizzed about whether Lovren, who has also been linked with a move to AC Milan, would leave before the end of the month, Klopp refused to confirm and said he is not in the squad because of illness.
No idea," Klopp said when asked if the player is heading to Rome. "It is because he is ill. We will see what happens in January, not only this window."
It would appear that Liverpool are happy to let the experienced defender go, despite the fact they could not bring in a replacement until January, but Roma will have to come up with enough cash, while the player would also have to agree to the switch.
There is a good chance he would as he is desperate to play first-team football, something he would get with the Giallorossi.
For now though, Lovren's future is not at the forefront of Klopp's and Liverpool's mind. They have a Super Cup to win and all the focus is on the players who are available to play.
Liverpool will be hoping to secure their first piece of silverware tonight, having already lost the Community Shield to Premier League foes Manchester City.
Alisson Becker started that game but a calf injury sustained against Norwich means newly-signed back-up goalkeeper Adrian is set to make his first start.
Andy Lonergan, another recently acquired goalkeeper, has also been included in the 23-man squad.
Liverpool are considered strong contenders to retain the Champions League this season and are also hot favourites to emerge victorious this evening.
Chelsea are going through a transitional period following the arrival of new boss Frank Lampard, who was unable to sign any new players due to a transfer ban this summer, but Klopp will not take his side lightly, even after their 4-0 defeat at Manchester United on Sunday.
"I didn't know that everybody expects us to win," the German said. "So far we could avoid that information until you told me. No problem for us what people think around us.
"We respect Chelsea a lot, saw the game against Manchester United and if you saw the game without the result you would have no idea how the game was because the game was really a very good game.
"They had a few changes: new manager, lost Eden Hazard, brought in young players like (Tammy) Abraham, Mason Mount. They are a really interesting team."