Former Chelsea boss Mourinho and current incumbent Conte have regularly traded barbs since Mourinho took exception to Conte's celebrations during the Blues' 4-0 win over Manchester United last season.
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After booking their place in next month's showdown by brushing aside Southampton 2-0, the wily Italian fox used his press conference to begin the mind games against his rival Jose Mourinho by insisting that United would be the favourites at Wembley on May 19.
"If ever there was a situation for video referee, to play a hand and step in and say "Listen we need to probably review that", I would have thought that was an opportunity to do that", said Hughes, whose team is fighting relegation from the Premier League. "I think that this final is a game between two great teams". Antonio Conte's men are also trying to catch up Tottenham Hotspur in the race for Champions League spot with Spurs trailing Chelsea with five points on the Premier League log.
"Last season we played the final and we arrived as favourites against Arsenal", said Conte. "There is not a problem between him and I", Conte said.More news: Yankees call up Gleyber Torres, and it's about time
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"If you do know this, you must prepare a season in a strong way".
"[Giroud and Morata] both got on the score sheet, so I am delighted with that, but most important was obviously just to get the win but they made it hard".
The biggest title-winning margin is 18 points - by Manchester United in 2000 - and City's current lead over second-place United is 16 points.
Having lost to West Brom at home and away to Huddersfield Town and Newcastle United respectively, Mourinho has urged his players to improve next season as they try to reel in Pep Guardiola's men.
However, Mourinho whose side are now on course to finish second in the Premier League insisted his critics are always waiting for a poor result in order to lambast his management.