Barca's 1-0 win over Atletico Madrid on Sunday saw them claim the 2014/15 league trophy, and the Catalans are in with a shot of adding two further pieces of silverware in the form of the Copa del Rey and the Champions League where they will face Athletic Bilbao and Juventus respectively in the competition finales.
Rather than savour the moment of victory following the weekend's triumph, Enrique is eyeing further glory.
"We have two crucial games to play and we must show we are better than our opponents," said Enrique.
"We still have two titles to play for but we have consistency.
"I do not mind how we celebrate the League – the club will decide. We will have a few days to rest and then prepare for the Copa [on May 30].
"The Copa is very special because we are playing a final in Camp Nou, the most beautiful stadium in the world. The [league and cup] double would be a wonderful thing."
Enrqiue has the pleasure of enjoying the last laugh after coming in for much criticism early in the campaign following his arrival from Celta Vigo in the off-season.
"We started 10 months ago with many changes at the club which doesn't understand the idea of transition and was coming off a season having not won anything," he said.
"There is no way that a trainer of a top club will not receive criticism during the year and I knew that.
"We knew that we wouldn't be given time but we did our best."