Cech was a key player during Mourinho's initial stint and he kept his 209th clean sheet for Chelsea in victory at Hull.
That took him past Peter Bonetti and into the club's record books, and he is now just 20 shutouts away from overtaking David James' Premier League benchmark.
"It is almost 10 years...clean sheet after clean sheet," said Mourinho.
"In this moment he beats the record of Mr Bonetti and I think probably next year he will beat the record the league."
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