Wiktionary
absorbingly
adv. In an absorbing manner. (First attested in the mid 19th century.)(R:SOED5: page=9)
Usage examples of "absorbingly".
It is only when those sales are considered teleologically (as the philosophers would say) that they can seem absorbingly vital to others than economists or to the fortunate heirs of some of the purchasers.
Every other manifestation of love can be traced back to that one absorbingly real feeling, of which all other affections are but an emanation, a connection, or an imitation.
For, as it eventually turned out, he cared not to consort, even for five minutes, with any stranger captain, except he could contribute some of that information he so absorbingly sought.