The Blues have started pre-season training back at their Surrey base, with the squad set to embark on their tour of the Far East next week, which will include a game against Arsenal in Beijing on July 22.
Should he stay at Chelsea he may only be offered a two-year extension and then faces the prospect of one year rolling offers as he would be over 30.
Conte will be keen to conclude transfer business swiftly to prepare for the season opening in less than a month's time.
"I want to thank him, as well, for allowing me to wear that number". £20 million was the cash adjustment paid to Benfica for Luiz in January 2011, Matic was clearly just an afterthought.
Of course, the penny has finally dropped in the Stamford Bridge boardroom that it might be prudent to insert buy-back clauses into the contracts of the myriad youngsters the club churns through as the recent sales contracts of Bertrand Traore to Lyon and Nathan Ake to Bournemouth testify.
Law adds: "Chelsea's players are convinced Matic is on the brink of leaving".
Jose Mourinho has discussed how he would like a more experienced player at the centre of his midfield to hold their position and protect his defence. It's a nice number, and I asked the permission of Zlatan Ibrahimovic.
Pierre-Emerick Aubameyang of Borussia Dortmund, Alvaro Morata of Real Madrid and Andrea Belotti of Torino are all in the frame for an expensive move to West London. Have your say in the comments section below.
And Baars also played in the Under-18s' 6-0 win over SV Ebensee in Austria.