The 18-year-old has impressed since being promoted from the club’s academy this season, scoring seven goals in 12 appearances, including the winner in Saturday’s Premier League win over relegated Aston Villa.
Those strikes include a brace in a win over Arsenal and the winner in the Manchester derby.
And De Gea says: “It’s unbelievable, no? This player is really young and he’s scored many goals. Hopefully, for many years, he’ll be in this club and can make history for the club as well.
“He’s a shy guy, he is a really good lad and a good teammate. He’s a really good guy.”
De Gea has been no less vital to United’s European football chase.
The stopper has been brilliant this season, conceding 28 goals in 29 matches while United’s Premier League defence record stands at 30 shipped in 33 games.
De Gea, who has faced 101 shots compared to Leicester’s ever-present Kasper Schmeichel , credits his backline for making it easy for him.
He says: “I think we’ve defended really well this season and we need to continue until the last game and hopefully we will be in the top four.
“We need to win our games and wait for the rest of the teams. We will see in the end.”
Fifth-placed United are four points behind Arsenal, who hold the final Champions League qualifying spot, with five games left. The 20-time league champions host 16th-placed Crystal Palace at Old Trafford tomorrow.