Scotland's Fleming spent most of 2012 playing with Jonny Marray, but finally reunited on court with long-standing partner Hutchins on New Year's Day.
Hutchins and Fleming will now head to Melbourne for the Australian Open, which begins on 13 January, with Great Britain's Davis Cup tie in the United States at the end of the month another objective.
There was British doubles success in Brisbane on Wednesday as
defeated Kevin Anderson and Robert Lindstedt 4-6 7-6 (7-2) 14-12 to reach the semi-finals.
began 2014 with a 6-4 6-2 win over Finland's Jarkko Nieminen and the Swiss, who struggled with a back problem last year, said: "Now it's just down to forehands and backhands and tactics and movement.
"That's kind of what you want it to be, because unfortunately it hasn't always been that way last year with my issues."
In the women's draw, second seed
beat Casey Dellacqua 6-3 6-1, while third seed
progressed with a walkover.
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