Bulgaria recall retired keeper Ivankov
Stoilov believes the 34-year-old could change his mind.
"He's in great shape and even has the chance to win the league title in Turkey," said the coach.
Bursaspor are third in the league, six points behind leaders Galatasaray.
Ivankov, capped 62 times by his country, was part of the Euro 2004 squad in Portugal.
He also won three Bulgarian league titles and five domestic cups with Levski Sofia.