Robson, who played for Middlesbrough just 10 days before turning 40 in 1997, has suggested van Persie could emulate ex-United striker Teddy Sheringham, who remains is the oldest outfield player to appear in the Barclays Premier League at 40 years and 270 days.
"A player like Robin van Persie can do it with the way he looks after himself," Robson told ManUtd.com.
"All he can do is look at the likes of Teddy Sheringham. Being a centre-forward, it is a little bit more difficult to play to the level they set themselves until the age of 40 but Sheringham proved you can be capable of doing that if you are determined enough."
For the big stories and the banter follow us on Twitter: @tribalfootball