That's a bit harsh. Klopp did not lose the dressing room. The club was fully behind him, the players too. The problem was more the fact that several key players were injured, not in a good shape and lost confidence during the first losses. In the end, Klopp almost managed to get the to the top 4.
But in Jose's case, it looks like he lost the dressing room, which would be crucial and would make it difficult for him to stay at the club and turn things around.