The Scotland left-back was excellent after the Premier League restart.
Dixon told talkSPORT of Tierney: "He's been likened to Nigel Winterburn already and the fact that's on your CV, that someone's actually gone: 'Oh, he's very similar to Nigel when he got in the side'.
"(He's got) that hunger, that desire, that willingness to run all day.
"That should be a given, but sometimes it isn't. We look at young players today and we're sometimes critical about their effort.
"We look at them and go: 'He should be doing this, he should be doing that'.
"But the fact that he seems to have adapted to the way [Mikel] Arteta wants him to play, he can play in a few positions - I was really impressed with him when he first came."