The 27-year-old is widely regarded as one of the best stoppers in La Liga, with his performances this season drawing a host of interest from across Europe.
However, the Costa Rican has insisted that his feet are still firmly on the ground.
"I've had a difficult journey and coming from a small country I always knew I would have to fight to make it. Sometimes I wondered if it would all be worth it. It was my family who gave me strength," he told Marca.
"Barcelona? That's in God's hands. I live in the present. I don't think about the long term. It motivates me, but I take it in my stride. It means I'm doing my job well and I intend on continuing that way."
Navas joined Levante from Albacete in 2012.