The Greece international's current deal expires at the end of the season, but Samaras has insisted that he wants to continue playing for the club that he describes as his home.
"I am fully committed to Celtic," he told the Scottish Daily Record. "I've had six years here and they have given me this.
"I feel important and well, within myself, with the club, the city and the fans. I am almost 13 years away from my home country and, trust me, it is not easy to be away from family and friends for so long.
"But even in the tough periods, I feel Celtic Park and the club is my home. Both of the sides want me to stay and, in the end, there will be a solution."
Samaras joined the club in January 2008 from Manchester City.