Four straight losses in the Premier League have left Steve Bruce's side four points above the bottom three.
That sequence was immediately preceded by a 6-0 thrashing of Fulham, but defender Rosenior feels now is the time for a calm response to recent results.
"You can't get too high or too low when things are going against you," said Rosenior.
"Manchester United went on a bad run so there's no reason why it can't happen to us.
"The most important thing is how honest we are and we all work for each other."
Four clubs lie between Hull and the start of the bottom three, but Rosenior is targeting a quick turnaround in fortunes, starting with the meeting with Tottenham on Saturday, to improve their position.
"It's not about position, it's about points. That's the most important thing," added the 29-year-old.
"There's no good looking at other teams for help, you've got to do it yourselves and the sooner we get to 38 points the better."