The 30-year old attacking midfielder has 18 months left to run on his current deal meaning the Hoops are not too worried about re-signing him just yet although the same does not apply for Swedish defender Mikael Lustig who has a similar amount of time remaining at Parkhead.
"We haven't done anything on Kris," Lawwell told Sky Sports News. "He has a year-and-a-half to go and I think he is quite happy with that.
"Mikael has a year-and-a-half to go and we are hoping to start conversations with his people as well. He has been fantastic, a great buy, a great find, and he has done really well for us."
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