St Helens coach Nathan Brown has urged his players to move on from Friday's victory over neighbours Wigan and focus on their upcoming Super League games.
"I would hope there would be no complacency," said Brown.
"As important as the Wigan game was, in my eyes and the players' eyes, Hull can't be of any less significance. It's two points and two important points."
Tommy Makinson scored two of their tries at the DW Stadium as Saints avenged a 33-14 derby defeat by the Warriors at Langtree Park in April.
Brown told BBC Radio Merseyside: "Obviously you've got to enjoy it, a moment like that against Wigan.
"The derby obviously means a lot to everyone, more to the fans and home-grown players more than anyone. It's something that they've grown up with their whole lives."
Australian half-back Luke Walsh went off with a back injury in the first half and will have a scan to determine the extent of the problem.
Brown expects him to be out for three to four weeks.