Sağlam was quoted as saying by Fanatik: “There are a few last details remaining but Stoch should be joining.”
Bursaspor have lost just about ever star player from last season over the summer transfer window.
The latest player to leave was Cedric Bakambu who signed for Villarreal last week.
The Green Crocodiles also lost four players to Fenerbahçe including rising star Ozan Tufan, last seasons goal king Fernandao, Turkish international Şener Özbayraklı and Volkan Şen.
Stock joined Chelsea as a youth and soon rose through the ranks before his Premiership debut in 2008 against Arsenal at Stamford Bridge.
The Slovakian international joined Eredivisie side Twente on loan in 2009 to gain experience and further his career and became a regular scoring 13 goals and providing five assists.
Stoch expected to return to the Blues after his temporary stay in Holland but ended up being sold to the Yellow Canaries for €5.5 million in 2010.