Head coach Roberto De Zerbi stated that he wanted to change the mentality at the big club - which is in the relegation zone with a few games left in the season.
On LinkedIn, anyone can apply to become support staff for both players and coaches, the club says.
In the advertisement, Tottenham says it is looking for a "prominent performance psychologist" who can deliver "research-based psychological support to elite players."
Tottenham is third from last in the Premier League - and is two points ahead of West Ham on safe ground.
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