It's quite easy to adapt.
Just drop the trump cards (aka major arcana), and use the remaining Tarot deck. Treat Knights as Jokers.
If your Tarot deck does not use French suits, you can use the correspondences:
♥ = cups,
♦ = pentacles = bells,
♠ = swords = leaves,
♣ = wands = acorns.
If you have a divinatory Tarot deck, you can keep the trumps (major arcana) as a separate deck and use them for generating topics according to their divinatory meanings, maybe instead of Topic Focus.
If you have a playing Tarot deck, you can treat trumps as fifth suit (XI = Jack, XII = Knight [i.e. Joker], XIII = Queen, XIV = King, like in Tarot soliatre) and assign it some meaning (e.g. following the idea that trumps are the strongest card, we can get something like Authority [influential, hierarchy]; or maybe you can use something like "same suit as the last non-trump suit drawn"). Then only cards from XV to XXI (Mond) need to be dropped.