Cole was ruled out of England's World Cup qualifiers this past week.
But Mourinho said: "It's not a dangerous situation, but it's very painful. At this moment the pain persists. He can't train at the moment. If Monday, he can train, he has a chance for the Champions League, but I have my doubts. (Ryan) Bertrand is more than ready, though. He's going to play his first minutes in the Premier League this season.
"For Schurrle, it's the kind of problem that happens a lot in World Cup years, which is a player with a little problem wants to play in the national team and comes back injured to the club. That's normal. That's acceptable. He has a little problem in a muscle and we cannot risk. So he's out."
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