Mourinho was sacked by Chelsea after winning the Premier League title in 2014, with the club's form and league position drastically falling in the following campaign.
"We don't know what is going to happen at United this summer - they may spend another £300 million on improving the team". They are also in contention to reach the continent's elite competition through the Premier League, as they are only four points behind fourth-placed Manchester City, over whom they have a game in hand.
"I had a really good chat with him after those sort of words came out", he said.
"I think it's great for them, it's a great achievement to receive this nomination", said Conte.
"And it's my time to fight until the end of the season and show the boss what I can do and what I can bring to help his team".
Mourinho will aim to halt Chelsea's march towards the Premier League title as he welcomes his former team to Old Trafford on Sunday, yet it seems as if he is a little jealous of the praise being lavished on Conte and his former players.
And if the conversation deviates at all into speculation, regarding himself or any of his players or just about any aspect of the club, Conte is quick to shut the door. "It's only a sporting competition between him and me. So, let's be positive about it and hopefully go and win this game".
"I prefer to be more focused on my team". "Many coaches try to manipulate the ideas and try to put your thoughts in the way they want. It's normal for there to be a conflict during the game, but only a sporting conflict".
United could have challenged them had they converted some of their league-high 12 draws into victories - a source of great frustration given a 21-match unbeaten league run that highlights their promising attitude and aptitude. But you never know, that's what the handsome thing in the Premier League.
"But we have been playing so well for so long it is just that edge, that little bit of something, to finish teams off".