The 28-year-old will achieve the feat if he is selected in Steve Bruce's starting line-up for Saturday's visit of Crystal Palace.
Rosenior joined the KC Stadium outfit from Reading in 2010 and has gone on to make himself a regular fixture in the defence, playing 36 times in the club's promotion season last time out.
"I'm happy with how the season is going but I know I can still do better," he told The Hull Daily Mail.
"I'm never going to be content, I can always improve. That'll be the case until the day my career is finished.
"My long-term aim is to be a Premier League player for the next four or five years.
"I don't see any reason why that can't be the case so long as I stay fit. With this club and the players we've got here, I know I've got a chance of doing that.
"We're all desperate to make sure this isn't just for one season, we want to be here a lot longer."
