The 23-year-old from Bromley, will link up with the squad tomorrow morning and will be available for selection against his previous side Leyton Orient.
Turgott began his career in the academy at West Ham and made his Hammers debut in January 2014 against Nottingham Forest in the FA Cup.
The winger enjoyed a series of loan spells with the likes of Bradford City, Rotherham United and Colchester United.
He scored his first ever professional goal against his current club Stevenage in December 2013, while on-loan at Colchester.
The 23-year-old told the official club website: “I am looking forward to it and I can’t wait to get started. I am excited to play some games and help the team to push forward.
“I have been at Stevenage but I need to get games under my belt and I need to be playing football.
“Luke Garrard got in contact with me and sold everything to me, the way that he wants to play, where he sees the team going and where he sees me in the team.
“I am an attacking threat, I like to score goals and make goals, I showed that last season and I want to do that again here, I just want to show what I can do and help the team really.
“I know that I can play at this level and I showed that last season, and that is what I want to do again, I just want to crack on and help the team”.
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