Suarez, 24, was denied one of the Anfield wonder goals when Kuyt tapped in his goalbound opener.
Not that the Suarez was too concerned at missing out on his second goal for the club.
He added: "I spoke with Kuyt about the first goal but it's not important who scored it, I'm just happy it went in!
"It is great for a new player, someone who has played only three games since coming to Liverpool, to have the support of the public like I did on Sunday. It was fantastic."