The defender played for the Black Cats' Under-21s team as they defeated Blackpool 2-1 recently.
He is not ready for Premier League action yet but Brown, 33, said: "I feel good and have been training for over a month now.
"That was my first full game in just over a year and it went well. I need a few games, though.
"It's been great to get back out there with the lads."