Bournemouth ascertained their promotion to the top flight of English football last week and secured the Championship title on Saturday.
The Cherries are a small club with a limited budget, and many would expect them to fight for survival in the Premier League in the 2015-16 campaign.
Brady is no different, but she believes that Bournemouth can stay up and sings the praises of manager Eddie Howe.
“It’s lovely there is still room for a rags-to-riches story in football, so my congratulations to Bournemouth, who tonight touch £120million of stars,” the 46-year-old wrote in her football diary in The Sun (Monday entry).
“Soon, though, they must come down to earth and be practical about their prospects. Pessimists make it sound like they are preparing to climb Everest on pogo sticks.
“They will struggle to survive in the Premier League but it can be done. And Howe, Eddie. And how.”
Like the other two promoted sides, Bournemouth will be the favourites to suffer relegation from the Premier League at the end of the 2015-16 season.
The Cherries will have limited funds in the summer transfer window and have a home ground capacity of just 12,000.
However, it is not all doom and gloom for a club who have come through some tough times over the past few years.
Not many would have predicted Bournemouth to win the Championship title this season, but they did just that.
The Cherries finished ahead of traditional ‘giants’ such as Nottingham Forest, Leeds United, Derby County and Middlesbrough in the Championship table, and there is every possibility that they will be able to remain in the Premier League for the 2016-17 season.