The midfielder is out of contract at the end of the season and has so far failed to agree terms on an extension with the club.
Bates claims Johnson has failed to keep appointments with chief executive Shaun Harvey and suggested Leeds would not be increasing their offer.
"As far as we are concerned with Bradley, he was earning more than the Prime Minister," said Bates. "We made him a good offer and his agent demanded considerably more than we are prepared to pay. We increased our offer once more and that's it.
"He has not returned his chairman's calls on at least two occasions and he had an appointment to see our chief executive Shaun Harvey - he just didn't turn up.
"His excuse was that he had to pick his parents up. Well, they are over 21, and where he had to pick them up from you would have thought they could get a cab. After all, Shaun pays his wages not his parents.
"Players have to realise that the golden days are over. The money is not out there. The alternatives may not be as bright or as varied as people think but this is a decision for Bradley.
"If he wants to stay at, and play for, Leeds United, then he has got to keep his appointments and show a bit more respect to the chief executive."