The Premier League title is lost, Manchester City will be the side coronated come May.
"Today it was a bigger chance to beat Chelsea than in the away game, but we will try everything", he said. The 2017-18 campaign has yielded 41 goals in 22 games, the worst tally in the top five.
They now face a replay in London to add to a busy January, which also includes a two-leg League Cup semi-final against Arsenal.
The departure of Diego Costa was always going to leave a void, and his absence is felt more keenly with every gilt-edged chance that Morata misses; after a sparkling start to his Chelsea career, the Spain worldwide has scored five goals in 19 games since September, and his confidence looks shot. Conte is on record this season saying that he does not have the required strengh in depth to compete in Europe and in the Premier League. Maybe it doesn't help us for the league but I'm a big believer in the cup.
But, having made nine changes for the match, he did praise his players and Norwich. It took until the 50th minute before the game's first shot on target - a weak effort from Michy Batshuayi, which was comfortably gathered by Angus Gunn.
David Luiz is set to return from a knee injury to bolster Chelsea's options for this weekend's FA Cup tie against Norwich City, but Eden Hazard is likely to miss out.
January is a notoriously hard time to make good signings, particularly at the price paid for Barkley.
Norwich had their first attempt on goal in the 18th minute through Josh Murphy but his shot was well saved by Willy Caballero for Chelsea.