Tuesday's 3-1 triumph over title rivals Peterborough United saw the Tigers pull three points clear at the summit and it would appear that the East Yorkshiremen are coming into form at precisely the right time.
While second-placed Posh and third-placed Lincoln have each managed just one win apiece from their last four outings, McCann's team haven't dropped a single point and suddenly find themselves very much in the driving seat as far as the race for automatic promotion is concerned.
And, even though they have played two games more than both Peterborough and the Imps, success against Oxford United at the KCOM Stadium on Saturday could leave City in control of their own destiny - if other results go their way.
McCann is however adamant that he and his squad are looking no further ahead than their next match, insisting that his charges are capable of staying focused on the task at hand without him ramming the message down their throats.
"I feel as if we've got a changing room that can manage itself now - which is great," Hull's head coach said.
"We've got good characters in there who understand where we are and what we need to do.
"But no-one is getting to fixated on the end result, we're only focused on the next game. I think if you start getting carried away then you're in trouble.
"Whether you win a game or lose a game, instead of being reactive all the time we just want to focus on the process, focus on the next one and see whether we can affect that.
"Personally, I haven't even thought about it [promotion] I'm just focused on Oxford, that's it. I don't want to talk about finishing jobs or anything like that. I want to do a job and get three points against Oxford on Saturday, that's it, that's all we're focused on."
Hull's hopes of securing a fifth consecutive win when they host the Yellows this weekend have been boosted by three key members of personnel being given the green light to play.
Striker Josh Magennis had to sit out Tuesday's win at Peterborough United, while right-back Lewie Coyle and midfielder Alfie Jones picked up knocks during the game, though all three men should be fit enough to feature.
"Josh is fine he's trained this week. Lewie Coyle and Alfie Jones are fine as well, which is good," McCann added.
"We've no fresh concerns for the weekend."