With regular midfielder Casemiro missing from training, there's a possibility that Ugarte could start at Anfield due to his fresher condition.
Casemiro was given an extra day off after participating in Brazil's recent friendlies against South Korea and Japan.
Ugarte, on the other hand, was not selected for Uruguay's experimental friendlies against the Dominican Republic and Uzbekistan in Malaysia.
Amorim is weighing the options and considering the best lineup for the match against Liverpool.