Williams' slump, however, appears over now, with the specialist German magazine Auto Motor und Sport finding that the new FW36 could even be faster than the works Mercedes based on race simulations at the Bahrain test.
"Felipe has a good chance at Williams," 41-year-old Barrichello, likening Massa's Ferrari exit to his own "rebirth" at Brawn GP, told Globo.
"I hope he can go very well, win races and fight for the title, just as I did that year (2009)."
Barrichello is travelling to Australia this week, where he will continue his role in 2014 as an expert pundit for Brazilian television.
"I've been following all the tests and am anxious to see if the Williams car is as competitive as it seems," he said.
"The team to beat at the moment is Mercedes, but Williams is there."