The Blues boss will reach the end of his current deal at the end of the campaign and recently insisted that he will wait until the end of the season before making an announcement on his future.
"He has been Everton for many years and is very popular with the fans, chairman and players and I am sure he will sign," Mirallas told Liverpool Echo.
"I cannot see why he wouldn't [sign] because of those reasons. Of course I would be keen if he signed, he showed confidence in me by bringing me to club."
Mirallas was signed from Greek side Olympiacos last summer.