Liverpool play their final game before the break on Sunday afternoon, taking on an in-form Watford side at Anfield.
From there, a number of Klopp’s squad will depart on international duty, travelling as far as Africa and South America to compete in World Cup qualifiers and friendlies.
However, with national team managers announcing their squads this week ahead of the break, Lovren and Matip are among those left out.
Lovren has been omitted from Ante Cacic’s latest Croatia squad, after missing the October break due to injury, while Matip has long distanced himself from the Cameroon setup.
This means Klopp will be able to work with both of his first-choice centre-backs on the training field, and they will also be joined by Liverpool’s No. 1 goalkeeper, Loris Karius.
The 23-year-old has been left out of Joachim Low’s Germany squad, with the long-serving manager preferring Bernd Leno and Marc-Andre ter Stegen as backup to Manuel Neuer.
Emre Can is also excluded from Low’s squad, having only recently returned to full fitness following an ankle injury.
Alberto Moreno has, unsurprisingly, been overlooked for Julen Lopetegui’s latest Spain squad, giving Klopp the opportunity to continue his work on the left-back at Melwood.
This trio provide Klopp with much-needed experience for the break, with the 49-year-old likely to include a number of academy players to flesh out his squad during the break.
Danny Ings will also remain at Melwood, but will be undergoing rehabilitation following his season-ending knee injury.
This is Anfield will have a full and comprehensive list of players called up and left out for the November break when all squads are announced.