The phrase "already caring for" is correct and usable in written English.
It can be used to indicate that someone is currently providing care or support for someone or something, often implying that this care has been ongoing for some time.
Example: "She is already caring for her elderly parents while managing her own family responsibilities."
Alternatives: "currently looking after" or "already tending to".
"The zoo seemed the perfect place because they're already caring for all the animals".
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.
My friends and family are all either working or already caring for people, and most employers don't give employees time off to do their Big Society duty by going on daytrips to London with their friends.
In at least one case, a toddler went into the custody of the city's Administration for Children's Services for placement in a foster home already caring for a newborn sibling.
The woman, Specialist Alexis Hutchinson, 21, said she had no choice but to refuse deployment orders because the only relative who could care for her 10-month-old son, her mother, was overwhelmed by the task and already caring for three other relatives with health problems.
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.
Even in cases in which children are already cared for by foster parents who want to adopt, Mr. Scoppetta said, the average time it takes for adoption to be sanctioned by the courts is six and a half years.
By Friday evening, when I met with them, Kraft and Sussman had already cared for four young people — two men and two women, all in their twenties and thirties — who had lost their lives in the shooting.
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.
