The two veterans could leave for free at the end of the season if no contract extension is agreed.
“I think, for my part, I’m doing everything I can but ultimately it’s between the player and the club to agree a new deal,” said Di Matteo.
“I have [told the club I want them to stay]. I’m not aware of where they are right now [in terms of the talks]. The players know I would like them to stay, from my point of view.
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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.