Gyokeres, 26, is under contract at Sporting Lisbon until 2028 with a release clause of around £80million.
It’s understood Amorim would be prepared to offload both Marcus Rashford and Joshua Zirkzee in a major shake-up of his attacking options.
And Gyokeres is regarded as the man he most craves to replace them.
The Sweden star has hit a staggering 26 goals in 24 matches this season.