Consider it the fourth priority or not, with the Reds now into the final of the League Cup, the priority will be to win it.
Against a Chelsea side likely to be as strong as possible, Klopp is expected to turn to his key players to start the final, despite largely relying on his squad throughout the tournament.
And with only 20 players able to be named for the clash, the manager faces a heartbreaking decision over who to leave out.
Friday afternoon saw a 24-man squad put through their paces at Kirkby, with youngster Jakub Ojrzynski – on loan at Caernarfon Town but training daily with his parent club – joining the first team for the session.
Absent was Diogo Jota, but it is claimed that the Portuguese should be fit enough to at least make the bench at Wembley.
With Jota effectively taking Ojrzynski’s place, and bar any other late fitness issues, Klopp will be required to cut four names from his group for the final.
Caoimhin Kelleher is the only confirmed starter so far, but unless the manager throws a curveball, Virgil van Dijk, Trent Alexander-Arnold, Fabinho, Thiago, Mohamed Salah and Sadio Mane are all guaranteed to join the Irishman.
All five have been shuffled in and out of a near full-strength squad in league and Europe in recent weeks, and the same could occur against Chelsea.
It will be a strange and sad situation for Klopp to find himself in, after having for so long been without a host of first-choice starters due to injury, and his decision will only become clear at 3.30pm on Sunday.
Liverpool squad available vs. Chelsea
Defenders: Van Dijk, Matip, Konate, Gomez, Alexander-Arnold, Robertson, Tsimikas
Forwards: Salah, Mane, Jota*, Diaz, Origi, Minamino
* Facing late fitness test.