The beasts who have been devouring all Premier League opposition this season, though, may find Ashton Gate as tricky and oppressive a venue as Mourinho's men, who became the Robins' fourth Premier League victims of their inspired Cup run.
"For them it was a big, big day".
Jose Mourinho's much-changed United, even with big guns Zlatan Ibrahimovic and Paul Pogba back in their starting lineup, found it a trying night and had their work cut out after Joe Bryan had put City ahead with a superb 51st-minute strike.
"In the first half we lacked intensity".
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But the reward for eliminating United is an even tougher semifinal over two legs - against runaway Premier League leader Manchester City in January for a place in the final against Chelsea or Arsenal.
The home fans went wild as they cheered a regular win against a premier league top club.
Bristol City manager Lee Johnson and assistant manager Jamie McAllister celebrate after the match against Manchester United. "My dad always says he's the most successful Bristol City manager so I have maybe pushed him close tonight!" It has been a long time since we had a result like that at Ashton Gate.
"They are the ones that not going to be in the next match".
The late drama at both matches ensured a fascinating last-four draw, with Chelsea playing Arsenal at Stamford Bridge in the first match of the two-legged tie in the week commencing Jan.8.