Benitez added: "To have announced new deals for Steven and Dirk on the same day shows how hard everyone is working and that we are moving forward quickly as a club.
"These are very positive messages and I am very happy."
Kuyt joined Liverpool from Feyenoord in the summer of 2006 in a deal believed to be worth about £10m.
He arrived as a striker but has been used predominantly as a right winger during his time on Merseyside, scoring 10 goals in 41 appearances this season.
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