Here is the quote from the American TV drama Manifest.
The police were about to send a criminal who was dying to the hospital nearby, the conversation below took place between two policemen:
A: Where are you taking him?
B: Mercy.
B: I've got no room. We got a uni riding with him already.
A: I can follow behind. But he can't go to Mercy.
What's the meaning of I've got no room.?