The Turkish newspaper Fanatik have stated that the Merseyside club are interested in singing the Morocco international in the summer.
The daily sports paper goes onto stated that Everton have been monitoring the progress of Chahechouhe over past months.
Chahechouhe has one season remaining on his current deal with Sivasspor and has a €3.5 million release clause included in his contract.
The Moroccan international has been in impressive form for Sivasspor this season, racking up three assists and seven goals from midfield.
Chahechouhe has also attracted interest from Trabzonspor who are reported to be preparing an offer for the 28-year-old.
The 28-year-old has also been linked with Russian outfit Kuban Krasnodar according to Eurosport TR. However, Kuban are yet to make an offer for Chahechouhe or contact the club directly.
The Moroccan international joined Sivasspor from Chern Burgas for €1 million back in July 2012.