Alvaro Morata scored an injury-time winner as Chelsea beat Bournemouth to reach the Carabao Cup semi-finals, with boss Antonio Conte relieved to avoid a “dangerous” period of extra-time.

Willian opened the scoring, capping a fine team move which resulted in Cesc Fabregas squaring for the Brazilian to tap home.

Bournemouth thought they had forced extra-time when Dan Gosling curled home from the edge of the box in the final minute after being picked out by Jordon Ibe.

But substitute Morata sent Conte’s team into the last four when he finished from Eden Hazard’s backheel.

Chelsea will play Arsenal in the semi-finals, hosting the first leg in the week commencing 8 January. The second leg is two weeks later. Manchester City play Bristol City in the other tie.

Conte said: “To play 30 minutes more would have been a bit dangerous. We had a great reaction. It’s not simple to concede a goal in the last minute of the game.

“When you have this reaction, it means you have players with great character and heart.”

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