If you want to see the requirements from FDA point of view, it only asks that you must provide "soap or surfactant". It does not illustrate further.
[Code of Federal Regulations]
[Title 21, Volume 2]
[CITE: 21CFR112.130]
According to Minnesota Department of Public Health, there is no evidence that antibacterial soaps are more effective than plain soap for preventing infection under most circumstances in the home or in public places. Therefore, plain soap is recommended in public, non-health care settings and in the home (unless otherwise instructed by your doctor). Which Soap is Best? - MN Dept. of Health (state.mn.us)
Since you were speaking about ORGANIC, I would also check my client or certifying body expectation. If your client expects you to be using specific soap, then you need to comply with that. Otherwise, there is such requirement anywhere.
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Sayed M Naim Khalid
FSQA Professional