Brazil global Gabriel Jesus grabbed four goals for a rampant City, while Kevin De Bruyne, Oleksandr Zinchenko, Phil Foden, Riyad Mahrez and Kyle Walker also got on the scoresheet.
"We are considering it, we are talking about that", Guardiola said of a possible new deal. He said: "I think this one [is more difficult] over two legs", Clough said.
The 11th League cup semi-final for the Citizens got underway in frantic fashion, as Kevin De Bruyne headed the host into an early lead.
The second leg, merely a formality, takes place on Wednesday, 23 January. Without that competition, if we had just one competition to play in, I could play with the same 11 or same 12. But since I arrived, the first season in the Carabao Cup we played against United and played with a lot of young players, the same the second season, the same the third season, that's what has happened. Scoring more is the best way to respect the competition and the opponent.
"We expected that level of quality from the players they had out there". "When you get to the semifinals and you have beaten Premier League teams and mythic teams like Aston Villa or Middlesbrough, the reason why they are here they deserve incredible credit".
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However, Tottenham legend Lineker has been impressed with their ability to remain within touching distance of Liverpool FC and Manchester City this term - after they returned to winning ways in the Premier League with a 3-0 win at Cardiff City last week.
Guardiola said: "The result was good and of course we are already in the final but we have to play the second leg". It goes without saying that City are overwhelming favourites to make the final once again but you can forgive the visitors and their supporters if they dare to dream. "That's what we have done and that's why we are pleased".
There was a freshness in their win over Rotherham that has been missing in recent weeks, though, and they will want to put this tie to bed with so much football ahead of them.
Jesus, left, scores his side's fifth goal against Burton Albion.
Tottenham 9-1 Wigan Athletic (Premier League, November 2009): Jermain Defoe got his name on the list of players to score five times as Spurs recorded their biggest Premier League victory.