“Of course,” Kurama has no interest in getting between them or meddling in their affairs, especially on such a topic. Outside of the fact that the fox would likely have to help with the setup end of things, regardless of the fire demon's occupation in his space during this time. Unless Hiei wants to go to Koenma for Spirit World technology, instead.

He smiles faintly at that response, leaving to get the first aid kit and perhaps give Hiei a moment to himself, after driving his point home about Yukina. As needy as he liked to pretend the fox was, Kurama was probably the one best equipped to deal with the fire apparition's death, considering the number of losses he'd lived through over the centuries.

The redhead sets the first aid kit on the counter when he returns, speaking again after a moment of going through the supplies to ensure everything was present.

“Then you'll be returning in the morning?” Whether he means the Temple to discuss with Yukina, or Demon World, he doesn't bother to clarify.