United won eight and drew one of their next nine matches following the loss against their rivals but slipped up recently against Blackburn Rovers.
Following the defeat to his former side, Jones expects the Red Devils to fight back once again and show why they can win their 20th league title.
"Never for one second did I think we weren't good enough," he told reporters.
"The way we bounced back from the Manchester City game was unbelievable.
"Not everyone thought we would. But that is what Manchester United does best; prove people wrong.
"When the chips are down, you see who the real fighters are. That is the beauty of Manchester United."
The champions take on Newcastle United on Wednesday having had two extra days rest than City had before taking on Liverpool a day earlier.
The Christmas fixture list has drawn some complaints with Chelsea boss Andre Villas-Boas and City counterpart Roberto Mancini upset about having to play twice in 48 hours.
But Jones said that the situation is the same for all sides and that everybody should just get on with playing their matches.
"Everyone has a little bit of a moan about how many games there are around Christmas but the beauty of it is that everyone is in the same position," he said.
"We just have to get on with it.
"It is about how we manage and cope with injuries.
"We have been a bit unfortunate but we are still up there fighting with the best."
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