The teenage midfielder joined the Latics from Aberdeen last summer, with Roberto Martinez having shown in the past that he is prepared to give youngsters an opportunity to impress at a Premier League level.
He has been reluctant to ask too much of Fyvie during his debut season in England, with the 19-year-old having been restricted to Capital One Cup duty this term.
Fyvie is, however, of the opinion that he is improving all the time and believes there is much more to come from him as he continues to benefit from the support structure in place at the DW Stadium.
He said in the Daily Record: "I haven't played all season but I'm learning so much that I didn't know before I went to Wigan. I feel I'm ready now to progress to the next level and break into the team.
"Everyone knows the style of football Martinez likes to play, which is probably the way every footballer would want to.
"I'm really enjoying it, I just need a chance in the first team and I'll enjoy it even more.
"Both the James' (McCarthy and McArthur) had to bide their time here. It gets frustrating when you're left out of the squad on a Saturday, but they're great lads and they've told me to be patient. They've said my time will come.
"Every day Roberto passes on advice - it doesn't matter if you're 30 or 19. Most people recognise he's a very good manager. He wants you to do certain things as a footballer and if I can do that I'll get in the team."