Rose and Mourinho had a heated exchange after the left back was excluded for last Saturday's goalless draw with Watford.
"He was not selected against Watford and Middlesbrough. The reason he was not selected against Middlesbrough is we have a young left back we want to develop and it was a great opportunity to play Ryan Sessegnon," Mourinho said.
"On the Thursday before Watford, late evening, I got a call from my medical staff saying Danny was calling them with a problem in his back and he wouldn't train the next day. So Friday, the day before the game, it was a bit of a surprise that he was ready to train.
"It was not a big problem but I decided then to play Japhet Tanganga and have Ryan on the bench."