Jones moved from Rovers to United last summer.
Roberts told the Daily Mail: "Nothing ever seemed to get to him. In fact, the bigger the stage, the better he played, and that's why he is so suited to Manchester United and has already made his mark there.
"It's a quality he has that reminds me of Wayne Rooney. You could see on day one at Old Trafford that Rooney wasn't the least bit fazed by a £30million price tag. He belonged there, and Phil is the same.
"He was always fairly quiet in the dressing room, but you need a bit of arrogance to be a top player, and he did not lack confidence. We didn't get a proper chance to say goodbye when United came in for him. You couldn't see his car for dust, for one thing! There have been a few text messages flying around since, but we're all looking forward to seeing him next time we play United."