Hughes replaced Terry Butcher at the start of December and signed a two-and-a-half year deal with the Highland club.
Amid a mixed start to his Caley career, he has yet to savour victory in front of his own support - losing to Aberdeen, Celtic and rivals Ross County - but is hoping his side can put that right in the Scottish Premiership game against the Taysiders.
He told Inverness' YouTube channel: "We have been working really hard this week, the players have been great in training and hopefully we can take that into the game and make sure that the three points are staying in Inverness.
"It would be nice to get that monkey off my back, with my first home win.
"But I can't ask any more of the boys in what they are giving me in effort and commitment and at times we have been playing good football.
"At times we have been possibly trying too hard and leaving ourselves open to counter attacks, resulting in giving ourselves too much to do to win the game.
"So hopefully we can correct that and get back to winning ways."
Hughes was boosted by the news this week that Carl Tremarco and Danny Williams have signed extended contracts at the club.
The new deals for left-back Tremarco, 28, and midfielder Williams, 25, who moved to the Highland club in the summer, will run until June 2016.
The former Falkirk and Hibernian boss said: "There has been a lot of planning since I came to the club.
"I feel we work with a small squad and Danny can play in a number of positions.
"At this moment in time he is playing in the middle of the field, sitting and holding, and is getting better.
"He is a better footballer than I first thought when I came to the club, technically very good.
"Carl wears his heart on his sleeve, he is tough as teak and has a real appreciation of being a professional footballer and he wants to enjoy every minute of it and you cannot buy that.
"So I am absolutely delighted with these two guys."