Windass, 19, has played a key role in Stanley's pre-season schedule and has been rewarded with a contract at the Store First Stadium.
"I'm buzzing about it," the former Huddersfield trainee told the club's official website.
"The gaffer has been different class and it's a great start to my first taste of first team football.
"I've been playing youth-team football which is all pass and move and nice stuff but at this level it's all competitive and you have to win. It's a great opportunity.
"I can think about the season now and how hard I need to work to get in the team. I want to just get myself in there and start playing games."
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