Southgate says he is a popular character within the England squad.
He said: “He's a fabulous kid.
"If your daughter brings Bukayo home, you'd be more than happy!
“His family have been brilliant with him. Here, he felt the love of the players and staff immediately after the Euros.
"That will have helped, in the immediate aftermath for him.
"He's a fantastic talent."
Southgate, who has a son and a daughter, continued: “He's one that's possibly less appreciated.
"His profile isn't quite the same as some of our other attacking players.
“He just quietly goes about his job.
"But I think you see the consistency of his performances and quality of his play."