The former England defender feels that the 20-year-old has all the attributes to be a success in the game and hopes that he can continue to progress after his England call
The firner right-back, who played over 600 games for the Gunners, argues that the former Charlton man has stepped up and improved this season due to more playing time in Bacary Sagna's absence with injury.
The 48-year-old notes that Jenkinson has all the attributes to be a top player for Arsene Wenger's side and hopes that he can continue to progress even now that the Frenchman has returned to action.
"He's certainly got potential to be an international player," Dixon told the club's official website. "The important thing with young lads like that is you let their progress go unhindered.
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"He seems like a good kid. I don't know him but I'd like to sit down with him and have a chat to find out what his thoughts are. I believe he's a really good kid and he's got a huge future ahead of him.
"As a player, you want a chance to play and show what you can do, as well as learning as you're playing. It's important you get those opportunities. Sometimes you don't always get a chance to get a run of first-team games because it's not your time. I like him a lot. I think he's got a lot of attributes to go towards being a very good full-back.”
Dixon feels that the 20-year-old has shown a lot of maturity to adapt to the Premier League after limited experience at the Valley and hopes that he will continue to progress in the future.
"It’s a big step and he's done it a little bit differently to me," the ex-pro continued. "He's only played about five minutes for Charlton before he came. I played quite a few games in the lower league and knew a little bit about was I was doing. It was still a big leap [for me] to come to Arsenal.
"He's gone right in the deep end. He's an Arsenal lad as well so it's good to see. The fans relate to it - they can see his passion. He's still got a lot to learn but I see a lot of potential in him going on and being a top-class full-back.
"As long as he keeps trying to learn and progress, and not think he's made it when he's played 50 games, then he's got a real chance."