The Brazil international is currently involved in a protracted wrangle over a new contract which has alerted the likes of Manchester United and even Real Madrid.
The 23-year-old’s situation has been further complicated by the ongoing investigations into alleged fraud and corruption relating to his move to Barcelona in 2013.
READ MORE | Neville: I won't quit Valencia
But Suarez, speaking after he and Lionel Messi scored all seven goals in the thumping Copa del Rey first leg win over Valencia on Wednesday, dismissed any notion of Neymar swapping Camp Nou for the Bernabeu or the Premier League in the near future.
"I am convinced that Neymar will remain at” Barcelona," he said.
"The club supports him, and I am sure that he will play here for many years."