Both players come off contract in June.
"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."
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