Suarez will be banned for the first six matches of next season as he serves the remainder of his 10-game suspension for biting Chelsea’s Branislav Ivanovic last month.
Enrique said: “There is no excuse for what he did and he got a 10-match ban.
“It was bad for us because he is a top player but his personality meant he wanted to win.
“He has made a few mistakes but even so he is a winner and I love him as a player.
“The way the press portray Luis, a lot of people don’t like him, but even training with him every day he is amazing.”