"Hopefully tomorrow our fans can be like at Stoke City and Liverpool and support us in the bad moments, because we play a lot of games".
The 26-year-old also attributed City's success this season to the fact that they are playing good football as well as obtaining the big-game results to go along with them, as highlighted by their 1-0 win at Chelsea where De Bruyne scored the victor.
"It's so early, if you lose two or three games you go back to a (lower) position".
City manager Pep Guardiola led them to a third-placed league finish last season and De Bruyne believes that the club have improved their record against the league's top teams to rise to the top. "Everyone's trying for the same goal, you have guys at Chelsea, Tottenham - and the Belgians are everywhere at the moment".
City can extend their six-game winning streak when they host Burnley in the league on Saturday.
The Citizens now sit top of the standings with a two point lead over neighbours United, five points more than third-placed Spurs and a huge nine-point lead over Arsenal, Chelsea and Liverpool.
"I'm just growing on what I've done the last years", he added.
De Bruyne also created Gabriel Jesus's victor on Tuesday night in the 2-1 win over Serie A leaders Napoli that maintained City's flawless start in the Champions League with three wins out of three.
"We always chat when we see each other and I have nothing but respect for the City set-up, the club's ambitions and the style of football they try and play".
"That is the reason why we are here - if we believe that it's done it makes no sense to keep going, to stay".
The Brazilian has started the campaign in good form but Schmeichel insists that David de Gea and Thibaut Courtois give City's rivals "an edge" with Ederson still unproven.
That City is being mentioned in such terms owes much to De Bruyne's stellar form but the ex-Chelsea man is keen to share the credit around.