Speaking after his side's 3-0 win against local rivals Newcastle United on Saturday, the Uruguayan coach told reporters: "I am delighted that the chairman said to me: 'If you need [Cattermole], he stays'. It is about having the players you need to stay up and Lee is one of those.
"We did not want to lose any of our main players. Sometimes a club might put an offer that makes you think, you like to say everyone has a price.
"I say sometimes you have to be realistic but I am delighted we didn't lose any of our most important players."
The win against the Magpies moved the Black Cats up to 14th in the Premier League.