The Whites have lost five of their last six matches after Saturday's home defeat to Doncaster Rovers.
McDermott told the Yorkshire Evening Post: "I am confident they are still with me.
"It's a common theme that people say when you have had a bad run of results that the manager has lost the dressing room. I don't even know what that means. Get a result, the manager has got the dressing-room again. Get another result, he's really got the dressing room again. That's how it works.
"It's just a cliché. It doesn't mean anything to me. I have got good people in the dressing room and they are as disappointed as me. But I am determined and fighting and they (players) will be the same."
Leeds face Charlton Athletic at Elland Road this evening.