Sane, 22, was one of the Citizens standout performers in the record-breaking 2017/18 title win.
His exploits in the league saw him pick up the PFA Young Player of the Year award but since then his career has seen a downward trajectory.
Having missed out on Germany's 23-man squad for the 2018 FIFA World Cup, the winger has now lost his place in manager Pep Guardiola's starting XI.
And after being totally omitted from the match-day squad in the victory over Newcastle, Jesus admits the side have now been put on their toes in terms of complacency.
"It's normal with this amazing squad [a player left out for a game]," the 21-year-old said, as quoted by Manchester Evening News.
"Today it was Sane, but in the future, it's going to be me or other players too. I'm going to work hard to avoid that from happening to me, though.:
Sané cut a frustrated figure in the stands at the Etihad on Saturday but Guardiola responded with a simple 'yes' when asked after the game if he was completely happy with Sané's attitude, on and off the pitch.
And Jesus hopes to see his teammate back in action soon.
"We all know the quality Sane has, his importance in the club. But it's the beginning of the season, it's normal that some players have started stronger or are more fit than others.
"I just hope when he comes back to the team he's at 100% and he's able to help us as he's always done."