Weighing adverbs are provided in this article. The words listed here are commonly found along with the verb weighing in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb WEIGHING.
actually, approximately
carefully, constantly
duly, heavily
maturely, nearly
probably, respectively
seriously
Hope this word list had the weighing adverb you were looking for. In addition to adverbs used with weighing, other example verb adverb pairings can be found on this site.
You can help by adding more adverbs in the comments. Thanks.