“There have been some changes last season, with the coaching change,” Leiva said, speaking to Radio Joven Pan.
“I still do not know exactly what will be my role within the group, but I am returning (to England) on Thursday to start the pre-season.
“It is the first transfer window in which Klopp will participate more actively in Liverpool, so I’ll just get a better idea when I return.”
Leiva is expected to fall down the pecking order at Liverpool who have central midfield options including Jordan Henderson, Emre Can, James Milner and Joe Allen.
The Brazilian midfielder is the longest serving member of the Liverpool squad having joined from Gremio in 2007 but made just eight Premier League starts next season.
The Reds rejected a loan-bid from Besiktas for Leiva last summer according to the Liverpool Echo.
Sources close to the club revealed that Leiva remains on the Black Eagles shortlist and that they have been keeping tabs on the experienced midfielder.
The Istanbul giants had a shortage of central midfielders last season due to the injury of Veli Kavlak and Tolgay Arslan.
Besiktas won the Turkish league title last season and will be able to offer Leiva first team and Champions League football.