The 21-year-old was named the Republic's top young player again at the Football Association of Ireland's International Football Awards on Sunday.
Hull turned Brady's loan move from Manchester United into a permanent deal in early January when they paid an undisclosed fee and offered him a three-and-a-half year contract.
Brady first arrived on loan at the KC Stadium in the summer of 2011 and spent the whole of the 2011/12 season at the club, making a total of 41 appearances and scoring one goal.
He has scored twice in 19 appearances under current manager Steve Bruce this season.
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