The 23-year-old began the season as first-choice 'keeper at Kingsmeadow but lost his place after the return of veteran former Dons favourite Neil Sullivan.
Brown told the club website: "It is a chance for me to put what I have been working on during training into practice during matches.
"I want to get back playing again as it has been a while since I was regularly in the first team.
"It has been great to work with Neil Sullivan as he has played almost 600 league games with a lot of them in the top flight. You cannot fail to learn from the way that he conducts himself, both on and off the pitch.
"All I can do is strive to do better by going out and playing games and then hopefully be in the manager's plans come the summer."