According to the New York Post, only 3,700 tickets have been sold for a concert in Boston with Cee Lo Green, while 15,000 sales are needed to just to break even.
Organisers are said to be so concerned that they are considering cancelling dates like they had to for her Last Girl on Earth tour in 2010.
An insider told the newspaper, 'It has been a big disappointment. The ticket sales in big US cities like Boston are so bad they will barely cover basics like the lighting and other arena costs.
'Tour managers are begging local radio stations to do giveaways.'
However, across the pond it is a different story with the 23-year-old Bajan singer having to add dates to her UK tour due to demand.
Reps for Rihanna and her management Roc Nation declined to comment.