Spain striker Morata has been battling to make a swift recovery from a hamstring injury during the worldwide break after limping out of Chelsea's 1-0 loss to Manchester City, while Kante picked up his problem on France duty last week.
Morata (hamstring) has been ruled out for Saturday's match against Crystal Palace, but he may be able to return Wednesday to face Roma in the Champions League.
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Firstly, defensive midfield sensation N'Golo Kante is being targeted by French giants Paris St Germain, and, with a bid approaching £100 million lined up, they are likely to be successful with Kante liking the idea of a switch back to his home country and linking up with world record signing Neymar - though PSG will not make their audacious bid until next summer.
'As you know very well in this situation, you must pay attention and do another scan after one week to understand the situation to see if the scan is better than before but for sure it's a big loss.
"With Kante we are going to do a scan next week to check his situation and if it is improving". We must have patience with him and with this calf problem. We don't have another player with the same characteristics.
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Conte will call upon Cesc Fabregas and Tiemoue Bakayoko when Chelsea visit Palace on Saturday [14 October]. Maybe this scan will be better than the one before.
"For sure we're not lucky in this period". It could be an option if I decide to play with three central midfielders. If I can I prefer don't change a lot, also because you [could] try and find a solution and you lose something with the defence. "When I chose to use him in the midfielder against Tottenham, it could be an option if I play with three midfielders".
Adding to Conte's injury woes, Spain striker Alvaro Morata will miss the Palace match with a hamstring injury suffered against City.
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"I hope to have Morata back very soon, I hope for the next game", Conte said.