Yeşil joined Liverpool from the Bundesliga side Bayern Leverkusen 2012 for £1 million.
The Liverpool based newspaper states that the Merseyside club have decided to send the 21-year-old out to aid his development.
The young striker has featured for all of Germany’s youth teams from Under-16 to U19 and he is available also to play for the Turkish national team.
The former Bayer Leverkusen man scored three goals in his last two appearances for Liverpool U21’s during pre-season.
Turkish newspaper HaberTurk, reported that that Liverpool are open to the idea of allowing Yeşil to leave on loan. The young striker missed most of last season with a double cruciate ligament injury but did make a full recovery towards the end of the league campaign.
Liverpool take on rivals Manchester United in their next Premier League game at Old Trafford.