After getting to the stage of advanced negotiations with Antonio Conte, only for the deal to collapse, there is an understandable wariness about the situation and no agreement as yet.
Fonseca, 48, impressed at Roma, only to eventually lose his job last month after his side slipped to a seventh-placed finish and were eliminated from the Europa League semi-finals by Manchester United.
That Jose Mourinho replaced his Portuguese compatriot in the Italian capital creates a sense of irony as, if Fonseca does get the Spurs job, he would be taking over from the former Chelsea and Manchester United manager, who was sacked by chairman Daniel Levy in April.
The move bears all the hallmarks of significant involvement by Tottenham’s new sporting director Fabio Paratici, who has joined the club after 11 years at Juventus.
Fonseca replaced Claudio Ranieri at Roma after three years with Shakhtar Donetsk in Ukraine. The Portuguese also coached Porto and Braga in his homeland.
He won three successive doubles in charge of Shakhtar between 2016 and 2019, as well as a Portuguese Cup with Braga in 2016 and a Portuguese Super Cup with Porto in 2013.