Shaw, who has been recently linking up with Sancho down the left flank, knows the 21-year-old wide player from their time together with England.
The restoration to the starting XI saw Jones make a memorable comeback, as the English centre-back was one of the few positives for United.
Shaw was forced off during the first half of the 1-0 defeat to Aston Villa at Old Trafford and did not feature in the game with Villarreal four days later.
England were held to a disappointing 1-1 draw against Hungary in their World Cup Qualifier.
Sancho was one of the three high-profile signings Manchester United made in the summer transfer window.
It is inspired by the home kits of the 1960s and TeamViewer's name adorns the shirt, beneath the Adidas logo and Manchester United crest, to give it a classic look.
Solskjaer feels the pre-season will be an opportunity for youngsters to get the feel of training with senior players.
After the regulation time finished 1-1, three English players missed their penalties to hand the trophy to Roberto Mancini’s side.
Premier League giants Manchester United confirmed an agreement in principle to sign the Borussia Dortmund winger last week.
Harry Kane’s brace helped a magnificent England soar into their first Euro semi-final since 1996.