It is still sometimes possible to have a stent put in if the narrowing is at the bottom of the gullet. Your doctor may choose a different shaped stent for you. There is an increased risk of stent slippage into the stomach.re there any risks in having a stent fitted? Yes, there are possible risks with this procedure and the doctor fitting your stent will discuss these with you in more detail before you have this procedure. The risks include: perforation (making a hole in your oesophagus), bleeding and movement of the stent.