Yakin is a top candidate for Levy as he seeks a new manager following the axing of Andre Villas-Boas on Monday.
The Swiss is regarded among the best young coaches on the continent after successfully leading Basel in the Champions League.
Il Tempo says Spurs are keen on Yakin, 39, but will face competition from Lazio.
The Romans see Yakin as an ideal replacement for the under pressure Vladimir Petkovic.
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