If you received a sentence of supervision, you do not have a conviction on your record although your arrest will probably show up. You do have a misdemeanor on your record, but not a conviction for that misdemeanor. You are in he clear if that is all that is on your record.
I would suggest running your question by the attorney who defending you in the case, or another criminal defense attorney or employment attorney about this issue before you answer the question. We have a case pending about inaccurate background check reports, where the issue involves whether the resolution of supervision is a conviction or not, and there is a bad appellate case in Illinois that says you may be required to disclose supervision convictions to an employer if they ask the question in such a way that it covers supervision situations. In that case, the person wasn't hired because they were accused of providing a false answer to the question. The way they worded the question in your case, by only exempting supervision convictions that did not result from DUI or driving on a revoked license, suggests to me they want all DUI's disclosed.
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The way I read the above, a misdemeanor court supervision is not a conviction upon its successful completion, therefore, under the above criteria you avoid a reporting requirement of "to a Reckless Driving with Court Supervision".
You are welcome to seek a second opinion with another licensed attorney in person.
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