JD...
i'm far from an expert on this but I have found out through my own experience that SSI (SSI = Social Security Supplemental Income)payments are based on income... so there is a chance that this will be reduced due to your inheritance... but the SS should not be reduced or canceled.

I would suggest contacting a social security lawyer who would be able to answer your question. (many will answer a question without charging anything)

Best wishes!!
Abbie