Having returned to the Premier League at the first time of asking, winning the Championship last season following their relegation in 2015, Newcastle have had a promising first eight games.
Asked if he was aware of any unrest among his squad, Conte said: "I don't know about this".
Conte has been handicapped by a crop of injuries to players like N'Golo Kante, Victor Moses and Alvaro Morata.
Watford weren't done there though, and they fought back once again two minutes after Batshuayi scored through defender Daryl Janmaat and the visitors equalised with just over 15 minutes to go through substitute Stefano Okaka.
The two sides met in the middle of May last season, on a Monday night when the title had already been won a few days before thanks to Michy Batshuayi's effort at West Brom.
Blues technical director Michael Emenalo, the man in charge of player recruitment, was called to a post-match meeting after Wednesday's 3-3 Champions League draw with Roma and did not arrive home until almost 3am on Thursday. The team has a good potential and the manager speaks my language which makes everything easier for me.
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Marco Silva's men will no doubt target Chelsea in aggressive fashion, but their ability to play expansive football will also test the hosts if they show little presence in midfield or solidity at the back.
The net result is Chelsea's squad is not dissimilar in size or quality to last season. Players are not happy with the intensity of his tough sessions as injuries pile up. "They have enthusiasm. But we play at home after two defeats in the league, and we want to come back to win". When you play every three days it's impossible to work above all on the physical aspects. It's different. You can train only a part of your fitness, metabolic, but you lose the strength.
Conte says he is unwilling to rush Drinkwater into action too quickly but had a more positive update on Kante, with the France worldwide now expected to return before the next global break at the beginning of November.
"I hope to have him back very soon, before the [November] worldwide break", the Chelsea head coach said.
Despite the injuries and extra fixtures, training is said to still be as demanding and intensive.
"Danny is progressing well".