The 23-year-old defeat Liang-Chi Huang 6-1, 6-2 in the first qualifying round Down Under, however the same could not be said for James Ward and Dan Cox.
However Evans, who reached the US Open third round last summer after coming through three qualifying matches, is remaining realistic about what lies ahead.
He faces world No.1 182 Marton Fucsovics of Hungary next and he told BBC Sport: "I'm pretty confident I'll come through but quite a lot can happen through the next two matches.
"I had a good pre-season so I feel as good as anyone in the tournament, I'm sure. I won that first match pretty comfortably, played well, and if I keep playing like that I should put myself in some good positions in the matches to come to get through.
"I was probably a bit more confident going into the US Open, I'd played a load of matches, but I've started the year pretty well and I've got a decent chance now to come through."
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