Guardiola's team had a hard-fought win at West Brom in midweek and Pep admits it was a game he could have done without.
Yaya Toure made his first appearance for the Citizen's this campaign as Leroy Sane's brace secured a fourth round berth for the Etihad Satdium outfit in the Carabao Cup.
All their rivals at the top of the Premier League made it through too, with the exception of Liverpool, but City should have an edge over the other clubs in terms of squad depth.
Yet Mourinho, the current United manager, suggested on Wednesday that English clubs in the Champions League and Europa League should be allowed to opt out of the Carabao Cup altogether.
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"Business is business, but we have a lot of games", Guardiola said at a press conference on Friday ahead of the Palace match.
City appear set to continue their fine start, with a home tie against a hapless, rock-bottom Crystal Palace outfit looking like a banker - particularly with City having won nine of their last 10 versus Palace, who are yet to earn a single Premier League point or score a goal. "We worked really hard to get it and then we'd just give it straight back", he said. We have less points but I think it was a good season last season for many things.
" I think the prize is good when you win another one but you waste a lot of energy".
The victory represented City's fifth win on the bounce in all competitions but came among a busy run of fixtures that will see them take on Crystal Palace, Shakhtar Donetsk and Chelsea before the month is out. If you have to play in a competition you have to play in it.
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"We need him and of course it's not easy for the players who didn't play in the last games", he said.
Gundogan, 26, was just back from another long-term knee injury, but his latest problem was diagnosed as a sprain and he is expected to return to training in the coming days. So for the managers, there's a lot of wasted energy.
Frank de Boer paid the price for overseeing defeats in the opening four league games and successor Roy Hodgson failed to break that run in his first game in charge against Southampton last weekend.
"When Guardiola came in, they went, "We want Mourinho in".
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"You don't promote to go to global competitions".