The Spaniard has been criticised for his recent form after making costly errors at the beginning of the season but his Australian understudy feels it is careless of people to prematurely write him off.
"You don't get to the top, which is where he has been for the last five or six years, if you are no good. It is simple as that, and you don't stay there," said Jones.
"Whether he has made the odd mistake here or there, it is easy for people to jump on a goalkeeper and criticise.
"I don't think anyone has any doubt about Pepe. I don't think he has any doubt either.
"He has been at the top since he was 17, starting playing at Barcelona, so I wouldn't be worried if it was me and I don't think he is too worried about himself."