Supervised adverbs are provided in this article. The words listed here are commonly found along with the verb supervised in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb SUPERVISED.
adequately, carefully
closely, constantly
directly, internationally
personally, poorly
properly, strictly
Hope this word list had the supervised adverb you were looking for. In addition to adverbs used with supervised, other example verb adverb pairings can be found on this site.
You can help by adding more adverbs in the comments. Thanks.