The closest they have come to Champions League glory was when they reached the 2021 final, where they lost 1-0 to Chelsea.
A late fightback by Real Madrid prevented City returning to the final last season, but in Guardiola's first four seasons at Etihad Stadium they failed to progress past the quarter-finals.
City were upset by French sides Monaco and Lyon, while suffering agonising exits against Premier League rivals Liverpool and Tottenham, with the latter coming after VAR played a big role in the outcome of a thrilling second leg at the Etihad.
Guardiola's Man City spell will 'not be complete' without Champions League win
Man City v RB Leipzig preview
In November, Guardiola, who won the Champions League twice as Barcelona coach, signed a two-year contract extension to 2025 and said he wanted "to stay and continue fighting for trophies".
"We've not won it but we've done really well in the Champions League," said City midfielder Kevin de Bruyne.