Semi-Kelley continua were introduced by J. J. Charatonik and W.J. Charatonik in 1998, who proved that every Kelley continuum is semi-Kelley. Since then, this class of continua has been studied by several authors. The most important problem in this area is determining whether the hyperspaces of a semi-Kelley continua are contractible. In this talk, we present a positive partial answer to this question in the case of fans.