Verb for "... his passion"

Fulfill might work:

verb (fulfills, fulfilling, fulfilled)

1.0 Achieve or realize (something desired, promised, or predicted):
he wouldn’t be able to fulfill his ambition to visit Naples

1.1 (fulfil oneself) Gain happiness or satisfaction by achieving one’s potential:

ODO Emphasis mine


Perhaps indulge

Allow oneself to enjoy the pleasure of

Oxford Dictionaries Online


... where I could behold his passion at work ...

Is this the girl talking, or what? I thought it sounded Romance, thus my suggestion :-)

Blackwood's Edinburgh Magazine - Volume 36 - Page 105 1834 - ‎Full view

I flew rather than ran along the bank, till I arrired opposite the spot where I could behold him faintly struggling to disencumber himself of the cloak, which impeded all his efforts, and would have reduced him, in a very few minutes more, to a ...


One may also "realize" a passion. This is the verb I would use in the case of a fascination becoming practice and employment.


...where I could sate his passion.

 verb
 1 Satisfy (a desire or an appetite) to the full: 
   sate your appetite at the resort’s restaurant