That said, reports in Sunday's newspapers that Mourinho was urging executive vice-chairman Ed Woodward to make a £100m move for Kane stirred little but laughter at White Hart Lane.
It's common knowledge that signing a new striker to lead the line next season is an absolutely priority for United, after releasing Zlatan Ibrahimovic due to the Swede's lengthy lay-off.
While this might dash the hopes of all United fans hoping for an emphatic Ronaldo return to Old Trafford, the truth is that Ronaldo alone might not be able to lift the burden of improving the Red Devils' blunt attack force.
That doesn't mean the rumoured Cristiano Ronaldo deal is back on though, he has his sights set on a Premier League star.
Kane, who has won the Premier League's top scorer award for the last two seasons, is likely to cost United around £100million.
He's been linked with a move to Arsenal and if a striker was to make way it would surely be him rather than Marcus Rashford, the brightest young talent at the club.
The "Special One" believes a strike-force of the England global and Morata would enhance the Reds' Premier League title ambitions more than Ronaldo's arrival in the twilight of his fellow countryman's career.
At the opening of the transfer window, Sarah Winterburn of Football365 opined that Manchester United should scrap any and all striking targets and focus purely on the acquisition of Harry Kane.