Entailed adverbs are provided in this article. The words listed here are commonly found along with the verb entailed in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb ENTAILED.
actually, generally
inevitably, logically
necessarily, strictly
usually
Hope this word list had the entailed adverb you were looking for. In addition to adverbs used with entailed, other example verb adverb pairings can be found on this site.
You can help by adding more adverbs in the comments. Thanks.