The Swedish international officially completed a £30.7m move to Old Trafford on Wednesday, signing a four year deal with an option of a further year.
And Jones, reacting to United’s latest arrival, noted that he always welcomed the emergence of new competition at Old Trafford.
“We’re Manchester United, we’re going to attract the best players and the biggest players,” Jones said.
“It would be a strange summer if we weren’t signing players like that. Competition is always good.
“I’ve spoken to the manager (Jose Mourinho). He just asks how you’re feeling, how you’re doing – just a normal conversation between player and manager.
“He’s a good man-manager, he’s like that with all the players.”
It was thought last summer summer that Jones, who hadn’t featured since January 2016 at the time, would spend the 2016/17 on the periphery under Mourinho or perhaps even at another club.
By November, however, he had asserted himself as a mainstay in the starting XI after evoking a measure of grittiness and discipline that served him so well under Sir Alex Ferguson. His superb form, alongside that of Marcos Rojo, convinced Mourinho to hold fire on signing Lindelof last January, and supporters will be keen to see how he fares with the 22-year-old now in the mix at Old Trafford.