Leading adverbs are provided in this article. The words listed here are commonly found along with the verb leading in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb LEADING.
actually, apparently, bravely, certainly, clearly, constantly, continually, currently
directly, easily, effectively, especially, eventually, evidently, finally, frequently
gallantly, generally, gently, gradually, immediately, inevitably, inexorably, merely
naturally, necessarily, occasionally, personally, possibly, potentially, presumably, probably
quickly, rapidly, really, respectively, simply, slowly, subsequently, successfully
surely, ultimately, usually
Hope this word list had the leading adverb you were looking for. In addition to adverbs used with leading, other example verb adverb pairings can be found on this site.
You can help by adding more adverbs in the comments. Thanks.