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Medicare Answers
I think you may be mistaken when you refer to "SSI". SSI (Supplemental Security Income) is assistance for certain low-income folks, and is generally not based on a work record.
If you are getting benefits based on your own work, call or visit the SSA, and they will check to see if you can get more money as a widow. You will receive the higher benefit, not a combination of the two types of benefits.