Supposes adverbs are provided in this article. The words listed here are commonly found along with the verb supposes in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb SUPPOSES.
apparently, erroneously
evidently, naturally
necessarily, plainly
really
Hope this word list had the supposes adverb you were looking for. In addition to adverbs used with supposes, other example verb adverb pairings can be found on this site.
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