The Spain goalkeeper continues to be linked with Real this summer.
"He's happy and I know I sound repetitive because I always say the same thing," said Herrera.
"But David is one of the few goalkeepers who gives you points so I'm going to do my best to keep him here."
The midfielder added after victory over LA Galaxy, "Now we are one of the rivals to beat and we have returned to the Champions League, we have a strong team and a winning coach, so let's go for everything!"
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