Guerrero had to leave the field during a game against the Peruvian under-22 team.
"Paolo's injury is a slight twist of the right ankle that is not serious," said team doctor Julio Segura.
"A player takes on average eight to 10 days to recover. We need to wait."
Guerrero, 31, has scored 21 international goals, more than any other player in the squad, and is within five of equalling Teofilo Cubillas' record.
Peru kick off their Copa campaign against Brazil on June 14. They then play Venezuela and Colombia.
(Writing by Andrew Downie, editing by Tony Jimenez)
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