Woods is recovering from left lateral and high ankle sprains and is limited to light throwing, Alec Lewis of The Athletic reports.
The 24-year-old sustained the injuries during a spring game at the end of February, putting his availability for the start of the regular season in doubt. Woods was selected during the Rule 5 draft by the Royals in December, so he'll need to be on the major-league roster once healthy to remain in the organization.