Jose Mourinho’s men currently have two ways of securing Champions League football for next season: either finishing in the top four or winning the Europa League.
Heading into Sunday’s north London derby, Spurs are currently six points behind fourth-placed Chelsea.
They can leapfrog Everton with a win and would still have a game in hand on Thomas Tuchel’s men.
As for the Europa League, Tottenham hold a 2-0 first leg lead over Dinamo Zagreb in their last-16 tie, and are plenty of chances to use a useful guide to reading odds before the match, to get the best returns.
However, should the north London fail on both counts then Souness thinks Kane should look elsewhere.
He told The Times: “If they fail to do so (reach top four) or if they fail to pick up silverware, i.e. beat Manchester City in the Carabao Cup final next month, then Kane should be having a word with his agent about new employment.
“Even if they beat City, he might still want to think about leaving. He turns 28 in the summer, and time is running out for Spurs to deliver collectively on what his individual efforts deserve. And those individual efforts have been world class.
Kane has earned right to be called great
“Unlike some in the punditry profession, great is not a term I confer lightly on footballers. But Kane has the right to be called that.
“Barcelona, Bayern Munich, Real Madrid, Manchester City — he would walk into the starting line-up of any of those teams. The window of opportunity to do so while in his prime is not big.”
Kane is arguably enjoying his best season to date, with 26 goals and 15 assists in all competitions.
The England skipper looks set to face the Gunners on Sunday despite taking a bang to his knee against Zagreb.