The Liverpool manager is set to be without one of his most influential players for longer than expected.
The Italian became a Premier League champion just five months ago, and now his job looks in doubt.
The German's contract expires at the end of the season, but he could leave as early as January.
Kane showed his quality in Spain on Tuesday during Tottenham's 1-1 draw with Madrid.
"I think he should look at himself, not others," the Chelsea manager said.
There is a suggestion around Old Trafford that Mourinho is frustrated by Woodward's running of the club.
The Portuguese coach has spoken about his future and is being linked with other clubs.
Liverpool has just one win in its last eight games, but there's an opportunity against Tottenham this weekend.
The Old Trafford manager has problems on and off the field this week.
Real Madrid host Tottenham Hotspur in the Champions League group stage on Tuesday night.
The Spanish giant takes on Tottenham Hotspur at home in the Champions League on Tuesday.
The Manchester City manager looks set to bolster his squad even further in January.
The Portuguese coach has been hit with plenty of criticism lately.
A few high-profile managers have come back onto the market this year.
Jose Mourinho's joint league-leader take on Jurgen Klopp's Liverpool at Anfield in Saturday's lunchtime kick-off BST.
Manchester City offered Arsenal £60 million for Sanchez six weeks ago, but now it'll accept a third of that.
In the summer, the Portuguese coach mocked Manchester City paying £54 million for Kyle Walker.
Jurgen Klopp's team takes on Jose Mourinho's at Anfield on Saturday, with United firm favorite.
Antonio Conte frustrated by Chelsea's failure to sign another striker in the summer.
The German playmaker's contract expires at the end of the season, but he looks set to stay in north London.
Jurgen Klopp has had a tough start to the season, and it may still get worse.
Manchester United had a big transfer planned for next summer, but it could be in jeopardy.
The world transfer record was broken this summer, when PSG paid £199 million for Neymar.
Barcelona has made one of Jose Mourinho's forwards its top target.
The two-time PFA Player of the Year believes Jose Mourinho has a player with huge potential in his squad.
The German playmaker is set to leave the Emirates for free and his potential destinations won't please Arsene Wenger.
The PSG squad is packed full of talent, too much to fit into one team. Antonio Conte and Jurgen Klopp are looking to take advantage of that.