Woods signed a two-year scholarship with the Clarets in the summer of 2019, after joining from Manchester United.
The Wigan-born youngster was an ever-present last season for Tony Philliskirk’s youth team.
Woods also featured for Steve Stone’s U23 side several times throughout the campaign.
The midfielder has also featured for England, after being called upon in 2017 to an U15’s training camp.
And Woods grabbed his first goal of the 2020/21 season for the U18s against Wolves in September.