The Black Eagles have agreed to loan the France international for a season and have a €7 million buy out clause included in the deal according to Eurosport TR.
The report goes onto state that Besiktas have also agreed personal terms with Remy.
Besiktas are on the hunt for a new striker after selling last seasons top scorer Demba Ba to the Chinese club Shanghai Shenhua for €13 million last week.
Remy has found himself on the fridges of the squad after being signed from QPR last summer.
The 28-year-old provided two assists and scored nine goals in 29 appearances for the Blues in all competitions. Chelsea won the Premier League last season after amassing 87 points in 38 games.