Markovic spent last season on loan at Fenerbahce until a hamstring injury curtailed his campaign and he returned this summer with a point to prove after just one disappointing season in a Reds’ shirt since his £20 million move from Benfica.
Markovic was one of the players not expected to survive Klopp’s clear-out but that may not be the case.
“Everyone knows that Lazar is a very quick player but he was not at 100 percent [in pre-season training] and there was some doubt as to how it would be,” the manager added.
“Since then he became better and better and he is in much better shape.
“He’s a good boy and works hard. At the end we will have to see how we will build our squad.
“We have time until August 31 or maybe something will happen earlier, or something will happen on the 31st or something will never happen.
“There is no final decision in this moment. We need all these players for the games and our training sessions and he is part of it.”