I'm presuming you mean social security disability (SSD) / supplemental security income (SSI) benefits. When you apply for unemployment benefits in Michigan, you are saying that you are ready, willing, and able to work, but are unable to find a job. When a person applies for SSD/SSI benefits, they are saying they are disabled and unable to work. So if you are currently collecting SSD/SSI, you will not be able to collect unemployment. I have seen people apply for and get unemployment benefits while waiting for their SSD/SSI appeal to be heard in front of an administrative law judge, however. (i.e., a finding of disabled hasn't occurred yet) Also, I am fairly certain you have to file for unemployment benefits within 90 days of being laid off in order to be eligible. (and if you are already collecting SSD/SSI it most likely took Social Security more than 90 days to grant you benefits)
If you are receiving SSI, the answer is probably no because it is too much money. if you are talking about SSDI, then you have a quandry because you are saying to one entity that you can work and saying to social security that you cannot work. Now, what might occur is that you might have been below Substantial Gainful Actitvity -- which currently is $940 per month and receiving social security and become unemployed. if that is the case and Social Security knows about the extra work, then you may be okay. You should consider consulting a local social security attorney.