What is a word that captures the *desire* to empathize?

[I’ve checked all the single-word-requests about empathy; they mostly deal with those who lack empathy or somehow empathize "wrongly."]

Empathy is (roughly) the ability to understand another’s experience, to put oneself in another’s shoes.

Is there a word that captures the desire to empathize? Or the enjoyment thereof or satisfaction derived therefrom?