Edser, 19, is a central midfielder who joined Forest from Charlton Athletic in July 2015.
He's highly-rated at Forest and is the captain of the under-23 side.
Edser opened the scoring against Exeter City under-23s earlier this month in a 3-1 victory in the Premier League Cup.
Edser told http://www.wokingfc.co.uk: "I got told I had the opportunity to come down to Woking, and I thought I couldn't really turn it down. Being a local boy, I've been down here a couple of times with my mates when I was younger."
Woking manager Alan Dowson commented: "We've been crying out for somebody to put their foot on the ball and pass it. He's been playing under 23 football for too long to be honest, some senior games will do him good. Just like the other lads I know he'll adapt, I'm looking forward to seeing him play on Saturday".
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