In the game between Greece and England was out and maybe this can be the reason so say he is still not ready and injured.
Kane got injured in the game against Eintracht Frankfurt.
Kane is still in recovery phase now. Because of not being fully ready yet, Lee Carsley didn't want to risk him. Otherwise he could have been in trouble if Kane's situation got more serious.
I can't find any certain date for his return but considering his current condition it seems very soon. He is very important for Bayern Munich's success as usual. He has had a ten-goal contribution in the league so far. It means the half of the amount the team have scored which is very crucial. I hope Kane stays healthy most of the season and wins a title finally. I know it isn't an easy work to do in such a busy schedule but it is quite possible.