Arsene Wenger admitted holders Arsenal are "one of the favourites" to win the FA Cup ahead of Monday evening's fifth-round draw.
Arsene Wenger: Holders one of favourites for FA Cup
Chelsea, Manchester City and Tottenham are among the 10 Premier League teams to have already been dumped out of the competition.
Manchester United will require a replay to get past Cambridge while Liverpool will also have to beat Championship club Bolton at the Macron Stadium to ensure a fifth-round tie.
"With Saturday's results you would be a bit cautious [about being favourites], the cup is the cup and what you want is the focus on the next round and to go through," Wenger said after the holders saw off Brighton 3-2 in the fourth round.
"We have good experience from last season to know that every round is different and the most difficult games were not especially the most expected ones last season.
"So let's wait for the [fifth round] draw. Of course we fight and we want to retain our cup, but it's too long to go to say that.
"But we'll be one of the favourites, because I think Man United might go through and some of the other Premier League sides will go through.
"We'll be among these teams but you cannot predict who will win it."
Wenger will hope the Gunners can avoid away ties against Manchester United and Liverpool, but beyond that Arsenal must now fancy their chances.
Chelsea's 4-2 Stamford Bridge loss to Bradford and Manchester City's 2-0 home loss to Middlesbrough underscored a Saturday of shocks.
Bradford's co-chairman Mark Lawn likened the 4-2 FA Cup victory over Chelsea to beating Barcelona and, along with Bantams manager Phil Parkinson, he is hoping the club are paired with Manchester United should the Red Devils overcome Cambridge at Old Trafford in their replay.
"It's like [beating] Barcelona, for me," Lawn said on Sky Sports News HQ. "It's like winning at a top, top European side. That's what Chelsea are - Chelsea are a top, top European side.
"I don't think there's one single Bradford City fan that would turn around and say, 'I think it [their cup run] is a distraction'. Beating Chelsea has made our season.
"My wife's a big Man United fan, so hopefully [we get] Man United away."
Parkinson would also want to take on the likes of Wayne Rooney, Angel di Maria and Radamel Falcao in round five.
"If I had my choice, I'd like to play Manchester United," Parkinson said. "The experience we had [on Saturday], going to Stamford Bridge was just terrific. If Manchester United can manage to beat Cambridge, it would be great to go to Old Trafford.
"But, whoever we get, it's great to be in the fifth round. We're enjoying being in the limelight."
Details of tonight's draw on SSNHQ from 7.20