Suarez's four-month ban for biting an opponent was upheld by the Court of Arbitration for Sport (Cas) last week.
But the Uruguay striker, 27, can now train and play in friendly matches, and Enrique said on Sunday: "He has been working hard when training alone.
"So I think he can have a few minutes tomorrow in front of the fans."

Luis Suarez controversies
June 2014: Banned for four months from any football-related activity, plus nine international matches, for biting Italy defender Giorgio Chiellini
April 2013: Apologises for biting Chelsea defender Branislav Ivanovic and receives a 10-game ban
Dec 2011: Given eight-match suspension and fined £40,000 for racially abusing Manchester United's Patrice Evra
Nov 2010: Given seven-match ban for biting PSV Eindhoven's Otman Bakkal on the shoulder while playing for Ajax
Suarez, who has had two training sessions with his new Barca team-mates, has not played since biting Italy's Giorgio Chiellini during Uruguay's World Cup group match in Brazil on 24 June.
A full explanation of the Cas ruling, which still prevents him from playing "organised" matches but now allows him to take part in all "football-related activities", will be published at a later date.
Suarez will still have to serve the remaining eight games of his record nine-match ban in competitive international matches, while his competitive Barcelona debut is likely to be at La Liga rivals Real Madrid on 26 October.
Suarez is due to be officially presented as a new Barcelona player on Monday at the Nou Camp