Enrique is out of contract at the Nou Camp at the end of the season, and the chances of him leaving have increased significantly after a calamitous 4-0 defeat away to Paris St-Germain in the Champions League on Tuesday.
That result, in the first leg of their last 16 tie, left Barcelona on the brink of elimination from the competition, and they also lag behind bitter rivals Real Madrid in the race to win La Liga.
Guardiola, who won 14 trophies in four years as Barcelona's head coach, says he has no intention of returning to the job he left in 2012.
"No, I will never go back to Barcelona to be coach there. My period there is gone."
Despite their stumbles, Barcelona remain the standard bearers of world football, according to Guardiola.
"Barcelona are still the best team in the world," said the 46-year-old Spaniard.
"If there's a team who can do it, then it's Barca, with their mentality. When you have dominated world football, it's normal that the people expect you to keep up that level, but my advice to you, knowing Luis and the players a little, is not to talk too much, because they will be back and prove you wrong.
- 'Scrap replays' -
===================
Guardiola, meanwhile, has suggested the quality of English football would be improved if FA Cup replays were scrapped.
Quarter-final replays were ditched last summer by the Football Association, which had abolished them at the semi-final stage in 1999.
Guardiola would prefer to see further action taken, calling for a system similar either to that used in Spain's Copa del Rey, where all ties bar the final are played over two legs, or Germany's Cup competition, where drawn matches are decided with extra-time and penalties, without the need for a replay.
"Maybe for the amount of games played, extra-time and penalties would be good. But OK, I'm not here to decide the rules of how we play the competition, I'm here to play the competition in the way that the chairmen and the important people decide.
"I prefer the quality over the quantity. Not only here in England, all around the world. It's a big mistake, so many games. You have to allow people to go to the theatres, the cinemas, the good restaurants and not play every game in front of the TV. We're going to kill the players.
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