Forward Fryatt and captain Koren are both out of contract at the end of the season and they could leave on free transfers in the summer.
Bruce is keen to keep the pair after being impressed by their contributions this season, despite Fryatt seeing first-team chances limited to the FA Cup this season following the January arrivals of Shane Long and Nikica Jelavic.
"When we secure our Premier League status, we'll all kick into gear and start looking at what we do for next year. It all starts again," Bruce told the Hull Daily Mail.
"Certainly the performances of Koren and Fryatt, particularly Fryatt, are not doing any harm. I'm just seeing Fryatt and he's certainly got something to offer.
"I've been really pleased with his performances, against Brighton in particular.
"Koren's been my captain since I came here, too. We'll sit down with them when we know where we're going to be."