But when Burnley rejected any interest from Leicester in Tarkowski, the player did not down tools or kick up a fuss. And Mee is impressed by the attitude of his teammate.
"You never know what can happen," said Mee to reporters.
"Obviously there was a lot of talk around Tarky. I've said to him, 'I'm glad you've stayed.' He focused really well and he showed that on Saturday.
"He had the attitude of what will be, will be. He never once stepped out of line. You see other players at other clubs, you hear about something and they can go a bit off the rails.
"He's stuck to it and trained really well and stuck with the group. He's fully focused on playing for us."