Sugar, whose profile has enjoyed a massive boost from the popularity of BBC show 'The Apprentice', was appointed as enterprise tsar by prime minister Gordon Brown last week.
The people interviewed by Brand Republic were positive about the appointment and many said Sugar was a good role model.
Only one out of the eight people interviewed believed the Tories were right to argue that .
Shadow Culture, Media and Sport secretary Jeremy Hunt said: "Presenting a programme for the BBC and working for the Government on the same issue is totally incompatible with the BBC's rules on political independence and impartiality."
One man interviewed by Brand Republic who agreed with the Tories said Sugar should devote himself to one or the other role and said people were getting tired of MPs having sideline jobs.
But others were happy for him to take both roles, saying he would be a good enterprise tsar as he was "straight-talking" and has done "a lot for the country by generating cash and jobs".
One woman also expressed the sentiment "As long as he's not off the TV I wouldn't mind either way...He comes across as a real straight-forward talking person."