Will the poor LOSE benefits, if the Minimum Wage is raised dramatically?

A very knowledgeable liberal friend of mine says that raising the minimum wage dramatically could be a DISASTER for poor people if they end up LOSING state benefits that they now enjoy because they would then exceed the maximum income that is allowed, and end up WORSE OFF than they are now!!!

P.S. I've been away for some time, so please forgive me if this has been discussed already, and direct me to that discussion. Thank you.

Edit: Maybe the first 10 respondents didn't get my point because I didn't make it clear that I was referring to state benefits, benefits that are denied to people whose private income exceeds a certain amount.