Ever since Xabi Alonso confirmed that he would be remaining with Bayer Leverkusen for one more season, Amorim has been considered the number one contender to fill Jurgen Klopp's Anfield boots.
At one stage, it was even claimed that the two parties had verbally agreed a three-year deal for Amorim to take over this summer, although those reports are now known to be wide of the mark.
Amid the incessant speculation over his future, the 39-year-old could lead Sporting to a domestic double this season, as they sit seven points clear at the top of the Primeira Liga table and will face Porto in next month's Taca de Portugal final.
The Lisbon giants' success has only seen his stock rise further, and he has also been linked with the soon-to-be vacant Barcelona job, although his reported €15m (£12.9m) release clause would prove problematic for the La Liga champions.
West Ham United enter talks with AmorimInstead, The Athletic claims that West Ham United have unexpectedly thrown their hat into the ring, and Amorim has already flown to the English capital to hold talks with the Irons.
Current incumbent David Moyes is facing an increasingly uncertain future at the London Stadium, having overseen a Europa League exit to Bayer Leverkusen and crushing 5-2 Premier League loss to Crystal Palace at the weekend.
The latter result leaves the Hammers eighth in the table with 48 points, only two fewer than Newcastle United and Manchester United, although Moyes's men have played two games more than both clubs.
No decision on Moyes's future is expected to be made before the
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