The Ajax legend has given the new Manchester United star some sound advice ahead of his first season at Old Trafford.
Depay completed a medical at United this week having already agreed a big-money move from Eredivisie champions PSV Eindhoven, and will join Louis Van Gaal’s side when the transfer window opens.
The Dutch youngster is considered to be one of world football’s hottest talents and his arrival at Old Trafford is being eagerly anticipated by the United faithful - although Van Gaal in particular has called for expectations to be tempered as he adapts to the Premier League.
Now, Cruyff has given Depay a nugget of advice, urging him to avoid trying to match or better Red Devils skipper Wayne Rooney during his debut campaign in England.
“Because he is still very young, I give him the advice to keep doing his own thing at Manchester United,” he said.
"In the first year you are at that club, you don't have to be better then Wayne Rooney."
Although Depay has been tipped for the top for some time, it is arguably this season that has seen him truly develop.
After impressing under Van Gaal at the 2014 World Cup, he returned to Holland with PSV to lead them to their 22nd Eredivisie title, the club’s first since 2008. He has also finished as the league’s top scorer with 22 goals, an impressive return for a winger.
And Cruyff says it is these talents that have made his transfer to United possible in the first place.
"Depay clearly made some major steps forward this year,” he added.
“He is a player that seeks adventure and always tries to decide a match. He has a good long distance shot and that's why he is so important for the team. These qualities made his transfer possible.”