Following Dapper's maiden ATP title win at the Stuttgart Open on Sunday, the 22-year-old moved up to 31st in the world rankings, making him the British no. 1.
"I think Jack has bigger goals than becoming British number one. In my opinion, he can get to the top of the game, to the top of the world rankings. He really loves the game. He really He's interested in it, he works really hard and I think grass is a fantastic surface for him, I think he'll do really well on this surface over the last few years," Murray told the BBC.
Draper won his first title after defeating Italy's Matteo Berrettini 3-6 7-6 (7-5) 6-4 in the final.
The British player will face Argentina's Mariano Navon in the Queen's Club Championship on Tuesday. If Draper gets past his first-round match, he will face Carlos Alcaraz, if the defending Wimbledon champion and current world number two also advances to the next round.
"For him to win his first tournament is amazing and obviously I'm happy for him. It's been a difficult year for him and it could have looked a lot different, a lot more positive, because he's lost a lot of very close games.
The two-time Wimbledon winner concluded, "You change some of those results and suddenly he's easily in the top 20 in the world. In my eyes, he's certainly playing well enough to get there." "
"I think Jack has bigger goals than becoming British number one. In my opinion, he can get to the top of the game, to the top of the world rankings. He really loves the game. He really He's interested in it, he works really hard and I think grass is a fantastic surface for him, I think he'll do really well on this surface over the last few years," Murray told the BBC.
Draper won his first title after defeating Italy's Matteo Berrettini 3-6 7-6 (7-5) 6-4 in the final.
The British player will face Argentina's Mariano Navon in the Queen's Club Championship on Tuesday. If Draper gets past his first-round match, he will face Carlos Alcaraz, if the defending Wimbledon champion and current world number two also advances to the next round.
"For him to win his first tournament is amazing and obviously I'm happy for him. It's been a difficult year for him and it could have looked a lot different, a lot more positive, because he's lost a lot of very close games.
The two-time Wimbledon winner concluded, "You change some of those results and suddenly he's easily in the top 20 in the world. In my eyes, he's certainly playing well enough to get there." "
