Sporting have won 14 of their past 15 games, only losing in the Portuguese Super Cup this season.
Both City and Sporting are on seven points from three Champions League games so far.
In 2022 City beat Sporting 5-0 on aggregate in the last 16 of the competition.
“I feel like I’m a better coach 1730839140,” said Amorim. “Unfortunately what I feel is that Pep Guardiola has also become an even better coach, so the gap remains.
“[City have] the best team in the world and the best coach in the world.”
City’s Portugal midfielder Bernardo Silva was a team-mate of Amorim’s at Benfica in 2013-14.
“He always showed he could read the game because he played different positions – as a defender, on the left, as a midfield player,” Silva said on Monday.
“When he arrived Sporting hadn’t been champions for 20 years. He changed the playing paradigm of Sporting. They are the best team in Portugal by far.
“He will be a rival but I am glad someone else from Portugal is in the best league in the world.
“When Ruben becomes coach of Man United, we will worry about that then. Right now we want three points to get to the top eight.”