Updating adverbs are provided in this article. The words listed here are commonly found along with the verb updating in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb UPDATING.
automatically, constantly
continually, continuously
regularly, simply
Hope this word list had the updating adverb you were looking for. In addition to adverbs used with updating, other example verb adverb pairings can be found on this site.
You can help by adding more adverbs in the comments. Thanks.