The Serbian looks set to be joining Fenerbahce on loan.
The Serbian posted this picture and message on his official Twitter account earlier, confirming he was in Istanbul ahead of his move to the club.
It had been rumoured Watford would have been interested in a deal for the player, but Liverpool have decided Turkey is a more apt location for him to continue progressing.
It is being reported by Fotomac in Turkey that Markovic will be signing a deal with the club tomorrow, after undergoing his medical checks this evening.
The player is quoted as telling the Turkish media at the airport in Istanbul:
"I'm very happy. I hope to be part of one of Europe's biggest teams. I know everything about Liverpool. My only wish is to be a Fenerbahce player. [Mateja] Kezman and [Milos] Krasic gave important information to me about the club. I am proud to be here."
The Serbian, who arrived from Benfica last summer for a fee reported by the BBC to be in the region of £20 million, has struggled for consistency at Anfield and is now set to get a chance to play on a regular basis.
The emergence of Jordon Ibe has seen him fail to play on a regular basis, but Liverpool are right not to be selling him outright.
There is no doubt he is a massive talent and has the potential to become a Liverpool first-teamer – hopefully some time in Turkey will help him find his feet.