One of the those is guaranteed bronze medallist Joshua Buatsi who is currently competing in the 81kg category.
Ghanaian-born Briton Buatsi, 23, has been impressive so far in the reaching the semi-finals and could be one of those offered a contract by Mayweather in the future.
Buatsi who shared snaps with Mayweather on Instagram faces Kazakhstan's Adilbek Niyazymbetov on Tuesday for a place in the final.