Assuming adverbs are provided in this article. The words listed here are commonly found along with the verb assuming in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb ASSUMING.
actually, apparently, automatically, constantly
falsely, gradually, hastily, immediately
implicitly, merely, mistakenly, naturally
probably, quickly, quietly, rapidly
simply, suddenly, tacitly, unconsciously
voluntarily, wrongly
Hope this word list had the assuming adverb you were looking for. In addition to adverbs used with assuming, other example verb adverb pairings can be found on this site.
You can help by adding more adverbs in the comments. Thanks.