The report claims Sport reader Enric Figareda spoke to the Manchester United stopper on board a London to Barcelona flight earlier this week.
And when asked if he would ever sign for Barcelona, the United goalkeeper was coy in his reply. De Gea reportedly smiled before saying: "You never know."
Current Barca number one Victor Valdes is expected to leave the Nou Camp at the end of the season, opening up a spot for a new first-choice keeper.
De Gea has been linked in the past, but was recently quoted as saying that he's loving life at Manchester United.
The former-Atletico Madrid stopper endured a rough patch early on in his Old Trafford career, but is now firmly established as the club's number one.
The 23-year-old keeper is one of the world's most talented young goalkeepers, and is already on the cusp of his 100th appearance for the Red Devils.
Since joining in June 2011, De Gea has become one of the Premier League's top keepers and recently spoke of his desire to try and match Alex Stepney's record of 539 appearances for the Old Trafford side.
So the United keeper was more than likely just humouring the fan when approached on the flight, because a move to Barcelona certainly doesn't look likely.