Dennis is currently on-loan at Killie.
He said: "I spoke with Bournemouth on Tuesday and they are over the moon with his loan. It could not have gone better for them.
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He's a boy who has gone from playing in non-league with his first loan to playing in the Premiership.
"His stats are great and he has played a huge part. For somebody so young he has done extremely well for us.
He's one of a few loan players I would love to keep. It's been a great loan for him, us and Bournemouth. It's exactly how you want your loans to be."