Tsimikas enjoyed a frustrating first year at Anfield, making just three starts and four substitute appearances in all competitions.
While some of his time on the sidelines can be put down to injuries, the Greece international was rarely considered as an alternative to Andrew Robertson.
However, the Liverpool Echo claims that the 25-year-old will not be sold during the summer transfer window.
The report suggests that Jurgen Klopp was left impressed with Tsimikas's level of performance in training before the end of the season.
Tsimikas penned a four-year contract when he joined from Olympiacos for £11.75m last year. body check tags ::