Negotiations between the clubs have been ongoing for the past few weeks and while a deal has yet to be reached he did hint that the signs are promising.
“Talks have been ongoing between Liverpool and Fenerbahce for the last two-three weeks and there are just a few details to sort out,” Csonto said.
“All I can say is that it looks promising.”
Fenerbahce have made strengthening their defence a priority over the summer as Ba’s loan deal runs out and Bruno Alves has also left.
Skrtel would join Denmark international Simon Kjaer at centre-back if he does go ahead and make the move.
The Guardian recently reported that Fenerbahce are on the verge of signing Skrtel for a £5.5 million fee.
The 31-year-old received widespread praise for his display at Euro 2016 this summer playing a key role in Slovakia reaching the Last 16 stage before being eliminated following a 3-0 defeat against Germany.
Skrtel joined Liverpool from Russian giants Zenit for £7.5 million in 2007 and went onto make 320 appearances for the Reds.