Dougie Freedman's Wanderers find themselves bottom of the Championship table after five games, having drawn with Burnley and Reading, and suffered defeats by Nottingham Forest, QPR and Blackburn.
McDermott's men are six points better off at this early stage and travel across the Pennines on Saturday looking to prolong the hosts' wait for a first league win of the campaign.
But the Leeds boss is wary of Bolton, who he feels are in a false position having only just missed out on the play-offs on goal difference last season.
When asked about the Trotters' winless start, McDermott told Sky Sports: "That's not really relevant to me.
"The most important thing to me is that we go to Bolton and put on a performance. You know that when you go there, you're going to get a tough game.
"I saw the game against QPR recently. Rangers nicked the game 1-0, but it could have gone either way. They've got good players and a good manager - they'll do alright this season, there's no doubt about that in my opinion."
Return to Reading
It has been five months since McDermott signed a three-year deal at Elland Road, having been sacked by Reading in March.
On Wednesday, he takes his Leeds team back to the Madejski for what he admits could be an emotional occasion.
"It will be strange," added the 52-year-old. "I've been in that home dugout many times. I'm looking forward to going back, I had great times and fantastic memories there and to see some people that I never got chance to say goodbye to.
"But we're working - we have to go there and try and get the right result. I have a lot of attachment to that football club. They were right by me as far as the many years I spent there, and I think I did right by them too.
"I had 13 great years there - three-and-a-half as a manager - and enjoyed every single moment of my time. We had success, and we got the team into the Premier League.
"Now we're trying to do as well as we possibly can at Leeds. This is a fantastic club as well, great people, and we want the fans to get success."
Leeds are now experiencing their 10th season outside of the top-flight and have not come close to a return since losing the 2006 play-off final to Watford in Cardiff.
Although the top six is a realistic ambition again, McDermott will not be setting targets for the supporters.
"I don't think about where we're going to finish," he said. "There's no point wishing your life away. We work to the best of our ability, day in and day out. That's what we do, and that's what we will do."