The Brighton winger has joined Justin Edinburgh’s side for an undisclosed fee.
He goes straight into the squad for Saturday’s huge game with Salford City.
He told the club’s website: “I got a call from my agent saying Orient wanted to sign me and I said, 'get it done' straight away.
“It's a great club to be at, it's a club on the up and I want to be part of the success here
"I like to get supporters off their seats, I like trying to make things happen, score goals, create goals, get the team up the pitch as much as I can when I get the ball."
Maguire-Drew is no stranger to National League fans.
He starred for Dagenham two years ago and played 17 times for Wrexham this term.