During his career, Vutov played solely for Lokomotiv Mezdra and Litex Lovech.
A product of the Litex's famed youth system, he was loaned to Loko Mezdra in 1991.
Some three years later Vutov returned to Litex Lovech, his last professional club.
On 17 February 2022 it was announced that he would take the position as the new goalkeeping coach of Bulgaria national team, previously vacated by Georgi Sheytanov, and also retaining his position in Lokomotiv Plovdiv.
This biographical article related to association football in Bulgaria, about a goalkeeper, is a stub.