United are currently five points off leaders Tottenham (with a game in hand) and sit fifth in the table, a point above rivals City. The two sides meet on Saturday with pressure on Ole Gunnar Solskjaer after United's midweek Champions League exit.
Brown believes that United have it in them to finish above their rivals, however.
"The way the season has gone so far, I think Man United could finish above Man City," he said, speaking exclusively to Ladbrokes, per the Daily Mail.
"Don't get me wrong, it's still going to be tough, and there are probably six - not Arsenal - teams in there that'll be fighting for the title.
"I don't see why United can't finish above City and win the league, just based on how the season has gone so far."
Some would say that's taking positive thinking to a whole new level, but it's certainly been a season of shock results so far - and Brown points out that his old team took several people by surprise last term.
"United came top four last season when nobody thought they would, so sometimes you have to give them credit where it's due," he said.
"More consistency in the Premier League is all I'd ask for - at home, especially. Put together a six or seven game run at Old Trafford and I don't think anyone can have any questions about whether or not you're genuine title contenders."
Manchester United haven't finished above City since Sir Alex Ferguson retired in 2013. But Brown, who won the league title five times during his Old Trafford career, likes his side's chances on Saturday.
"I reckon both teams will score this weekend. I'm going to go with a 2-1 win for Man United," he predicted.
Brown even explained that United's Champions League exit, while a bitter blow, could work in their favour as they focus on the Premier League for the rest of the season.
"It's very disappointing they've exited the competition where they have, because they worked so hard to get into the Champions League in the first place," he said.
"But at the same time, were we going to win it? No. I know we're still in the Europa League, but the league is priority now.
"And how things are looking in the league, there's an opportunity to go and win it."
All imagery: PA Images
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