Red Devils boss Ole Gunnar Solskjaer has signed Daniel James and Aaron Wan-Bissaka this summer and is closing in on a £80million deal for Harry Maguire.
But Manchester United are still looking at other deals following a season in which the team finished sixth in the Premier League, 32 points behind champions Manchester City.
Argentina international Dybala has emerged as a target for Manchester United, with Solskjaer said to be an admirer and hoping to bring him to Old Trafford.
Reports from last week claimed Dybala was open to talking to United with his future at Juve unclear, but Sky Italia now say he wants to stay in Turin.
It is claimed Dybala is keen to fight for his place in Maurizio Sarri’s starting XI and could return from his post-season break early to win over the former Chelsea boss.
The playmaker is currently due back at Juventus on August 5 having been given an extended break following the 2019 Copa America.
Dybala has emerged as a target for Manchester United as Paul Pogba and Romelu Lukaku continue to be linked with summer moves.
French World Cup winner Pogba has his heart set on a move to Real Madrid, while Lukaku has been strongly linked with a switch to Italy.