The Uruguay star is in line to make his long-awaited Barca bow at the Santiago Bernabeu on October 25 - a day after the expiry of his four-month ban for biting Italy's Giorgio Chiellini at the World Cup.
Suarez looked sharp in his country's friendly against Oman on Monday, scoring twice in a comfortable 3-0 victory.
"It's a huge coincidence but I'm looking forward to the experience," Suarez told Barca Magazine.
"You know, I'm the kind of person who believes that things happen for a reason, and of all 19 teams in the league, it's precisely against Real Madrid at the Bernabeu that I'll make my comeback.
"There must be a reason."
Suarez's first UEFA Champions League appearance for Barca is set to come on November 5 at Ajax - a club he captained and scored 111 goals in 159 appearances for prior to moving to Liverpool in January 2011.
"There are so many coincidences - and in Amsterdam of all places!" he added.
"To go back there after so much time and to return in the Champions League against the first team I played the Champions League with, for the team I have dreamed of all my life, which is Barcelona - yes, it's destiny again.
"It will be a very special game for me, to meet again with all the people at the club, and the fans. I love all of that."
