The phrase "already care" is correct and usable in written English.
It can be used to express that someone has a pre-existing concern or interest in a particular matter or situation.
Example: "I know you think I don't understand, but I already care about your feelings."
Alternatives: "already concerned" or "already invested".
Do you have to already care about Saul to watch Jimmy?
Will anyone who does not already care about the church be convinced of its importance?
The government also endorsed discount cards to be offered by 43 health maintenance organizations and other private health plans that already care for Medicare recipients.
With 25 million Africans infected with H.I.V., the AIDS virus, family members who traditionally would have taken in an orphaned relative are themselves too sick, already care for too many other children of their own and for orphans, or have died from AIDS.
I want the reader to care about issues of guilt and the death penalty, but I think they can only care about those things if they already care about the characters, so first and foremost it's the art, but the two have to be combined.
Stonewall, Diversity Role Models and similar organisations are doing wonderful work sending members of the community, such as myself, into schools to be beacons of It Gets Better, but that only reaches schools that already care enough to seek us out.
Drew didn't produce much sound at that stage, but he already cared about it deeply.
"The zoo seemed the perfect place because they're already caring for all the animals".
She'd already cared for it far beyond the point where keeping a pet made any sense.
Lee was already caring for one of JJ's older sisters when the foster agency called again.
Abandoned by her steady boyfriend and already caring for two girls — one with attention deficit hyperactivity disorder — she was under stress.
