"Everybody needs to be cool and easy, it's just another game," Jakupovic told reporters on Friday. "I have a feeling we have to take the pressure from our heads out."
Swansea have won five of their last eight league games to climb to 16th.
"We knew before the start of the season, we would be down there," the 32-year-old Jakupovic added.
"We have to fight. I make the pressure for me, because I know that if we keep a clean sheet tomorrow we're going to win."
Hull have not lost a league a game at their KCOM Stadium this year.
"We still have six games at home, and three over the next four weeks. We feel good when we play at home," Jakupovic said.
"We respect our opponent, but it is a really important game for us against Swansea and one that we need the points from."
Hull defender Curtis Davis, who has not played since January, has recovered from a hamstring injury and will be available to face Swansea.
(Reporting by Shravanth Vijayakumar in Bengaluru, editing by Ed Osmond)
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