Kilmarnock sealed their survival in the SPL last weekend and are now opening contract negotiations with players.
"I'll be sitting down with players to discuss contracts fairly soon as I don't want it to drag on. We've got one or two that are out of contract that I'll need to have a chat with to see what they are thinking.
"David is out of contract, but he wants to stay. He has had a really good finish to the season. He had a few problems with injuries, but he's played in the last 13 matches and has done really well for us.
"I've spoken with his agent and we've had a brief chat, so we'll meet up sometime next week.
"Tim is also keen to stay and the chairman and his agent have spoken. Tim has done well recently. The injuries he's had have delayed his progress as it took him a while to come back.
"We had a wee chat and I stuck to my word by giving him his chance and he's taken it."