Can we have an outside notary handle I-9 paperwork?

Q. We have a very small company in Illinois that hires hourly employees for janitorial services. We hire employees based on other employees’ recommendations and have only regional managers responsible for multiple locations. When we hire a new employee, a regional manager is not always in the same location as the new employee. We are trying to find a practical way to get the I-9 forms completed without a manager present. Is it legal and acceptable to send the employee to a notary to present their documents and have the notary complete the I-9 for us? If not, what other options are available? – Cindy, Tennessee