The two men were international team-mates last summer when the Three Lions reached the final of Euro 2020, in which Shaw famously scored a stunning opening goal at Wembley Stadium.
Shortly after the tournament, Sancho completed his transfer from Borussia Dortmund to Old Trafford and the 21-year-old livewire has so far made nine appearances for the club.
Jadon missed the pre-season training camp due to his extended summer break, which naturally had an impact on his fitness, but his recent performances have been increasingly effective and it is clear the Englishman is growing sharper with every outing as a Red.
Shaw is currently away on international duty with Sancho as England prepare to face Andorra on Saturday night.
While speaking to the media before that World Cup qualifier, Luke has backed Jadon to show his undoubted qualities for United.
“Sometimes, for people, it takes time,” Shaw told talkSPORT. “I wouldn’t say struggle because I don’t think he’s struggling at the moment. He’s working extremely hard behind closed doors.
“He’s training really well and looking really sharp. He just hasn’t had that bit of luck that sometimes you need for your first goal or first assist. But I’ve got no doubt in my mind, it’s coming.
“The talent he has is unbelievable, he can go right to the very top. It’s just about him staying focused, keep doing what he’s doing in training and working hard. His time will come.”
In that same interview, Shaw went on to discuss Cristiano Ronaldo’s return to United and the left-back admitted the Portuguese’s mentality is having a positive influence on the squad.
“He’s definitely raised the levels,” Luke added. “I think there’s no question why he’s been one of the best players in the world over the last 10 years. The way he conducts himself, the standards he sets, and his mentality is one of the best I’ve ever witnessed.
It’s only good for us as team-mates to be surrounded by someone like that, who will only raise the bar. We need to follow that. Everywhere he goes, he wins, and the standards he sets are so high. We need to equal those standards and push in the right direction with him as a team.
“I haven’t had to mark him yet [in training]. But he’s very sharp, always in the right position to score the goals, and his movement is one of the best I’ve ever seen. It’s no surprise he’s still scoring goals and has been for many years because he’s always in the right place at the right time. That’s a sign of a world-class player.”