The ex-Manchester United man has suffered a torrid time with knee injuries throughout his career, missing the entire 2012-13 season, but has started Sunderland's last four Premier League matches.
|5/1||Sunderland are 5/1 with Bet365 to beat Chelsea in their next game|
"We're really looking after him," the Uruguayan told reporters.
"We're constantly asking questions and getting very good answers from him.
"When you've got a player who's played at the highest level in your squad and you cannot use him it's very frustrating but I'm the lucky one, I got to the club at the right time when he got fit and now we need to keep him fit."
Poyet went on to say that it would take a collective effort to make sure Brown continued to play a prominent role in Sunderland's fight for Premier League survival.
"It's a job for him, for the medical staff, for me, his team-mates," he added.
"We need to help him and make him recover.
"I'm not a magician and I cannot see the future but I hope he can keep getting better because I'm sure he will get better physically.
"I think he can play on Wednesday [when they host Chelsea] but on Tuesday I need to check and make sure I'm 100 per cent convinced he can play."