The Whites boss claims to be 'very happy' with how his squad is shaping up, as he prepares for his first full season in charge at Elland Road.
He is, however, still looking to freshen things up and strengthen ahead of the big kick-off in August.
McDermott admits to having been chasing one particular target for some time now, and he is looking for the pursuit to be brought to a positive conclusion.
He said in the Yorkshire Evening Post: "By the time we get to 3rd August we need to make sure we're in a certain place, but I'm sure we will be. I'm very happy with where we are and the situation as it stands.
"I'm still targeting one signing at the moment, the signing I've been targeting for a long time.
"We're trying to get this particular player and it's not happening just yet, but we need to try and do that. For me, he'd be an important player. But the lads who are here are buying into what we're doing.
"You're looking to get as much fitness into the boys as possible, but they've come back really fit so it's actually been easy for us. If anything it's hard to get them off the training pitch.
"The mood is good and you can't manufacture that. You've either got it or you haven't, and we've got it."