Spain forward Rodrigo strained a muscle in Sunday's win over Leicester while Poveda injured his ankle while playing for the under-23s.
"It's not a question of days, more of weeks," said Leeds boss Marcelo Bielsa.
"Rodrigo fell and his legs separated and caused an elongation more than usual and this caused the injury.
"I saw a picture of the position both of his feet ended up in and the difference between them was different to what we would expect."
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