The 25-year-old striker started his Hatters career in a blaze of glory following his £40,000 deadline day move from League Two strugglers Hereford United earlier in the season.
He almost made an instant impact when he came on as a late substitute in the 1-1 draw at Stockport County in September, hitting a post in injury time.
Fleetwood then scored in his first start in the 2-0 victory over Darlington.
But his form has fluctuated since, although Brabin has never doubted his talent.
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