Kane and his Tottenham team-mates had just returned to the changing room after thrashing Watford when they began plotting Chelsea's downfall.
Kane admits the talk among the Spurs players at Vicarage Road quickly turned to preventing Chelsea from equalling a record of 14 consecutive wins when the two rivals meet at White Hart Lane on Wednesday.
Victory for Antonio Conte's side would see them become the first team to win 14 English top-flight games in a row in the same season.
Arsenal managed 14 successive victories in 2002 but their run stretched over two campaigns from February to August.
Tottenham trail the league leaders by 10 points and will need no reminding of how Chelsea brought their title challenge to an end last season.
Kane said: "We definitely don't want to be the team that lets Chelsea break that record. Of course, we know that's in our mind, we were just talking about it there in the changing room.
"We don't want to be that team they break the record against so we're fully focused. It's going to be a great game and we're excited for it."
Tottenham arrive on the crest of a wave themselves, having won six out of their last seven matches with 13 goals scored in their last four.