Oluwabori joined Posh in September after his release by Huddersfield Town in the summer. He had previous enjoyed a trial at Manchester City.
Oluwabori has been playing for the Posh under 23 side this season. He joins a side who currently sit second in the National League.
Boreham Wood manager Luke Garrard told his club website, “Andrew will add some much-needed competition in the forward areas. He possesses great pace and a real attitude towards isolating defenders. I’m really excited to see him in our system and shape.
“Having watched him play for Peterborough’s Under 23s on a number of occasions, I know he will most definitely excite our fans. I know he immediately fits the mould in terms of our hard work ethic, as he is eager to impress at National League level.”
Oluwabori could make his debut in a big game at fourth-placed Chesterfield tomorrow (October 23).