The Uruguay international was linked with Manchester United yesterday, but admits he favours joining Treble champs Barca.
"I am proud that the best team in the world is fixed on me. It's recognition, but I have to keep a cool head and continue to grow in Holland," said Suarez.
"It would be a dream to play there. I'm doing things right and working to make the leap. Now I think only of finishing my development at Ajax, but I like this idea."