Antonyms for the phrase "jumps on one's case" include "gives space," "shows understanding," "respects boundaries," and "avoids criticism." These antonyms describe behavior that is gentle, respectful, and accommodating of the other person's needs and preferences. "Gives space" suggests that the person is willing to let the other person have time and privacy to themselves. "Shows understanding" indicates that the person is trying to empathize and relate to the other person's feelings and experiences. "Respects boundaries" means that the person recognizes and honors the other's limits, while "avoids criticism" indicates that the person refrains from making negative or judgmental comments about the other person's actions or behavior.