The phrase "are already supervised" is correct and usable in written English.
It can be used to indicate that someone or something is currently under supervision or oversight.
Example: "The students in the lab are already supervised by the teaching assistant to ensure safety and compliance with the experiment guidelines."
Alternatives: "are currently monitored" or "are under supervision."
"Because we're embedding this very quickly into old systems, there are already supervising social workers for each satellite family, plus the liaison worker, and that has been a challenge".
Instead, the insurers insist they are already well supervised by state authorities, and express concern about being shoehorned into a regulatory regime that they claim is designed mainly for banks.
James A. Baker III and Warren Christopher are already in Florida, supervising opposing teams of battling lawyers and jousting with each other daily in their press conferences.
The industry contends it's already well supervised by the states.
Local police officers, trained and supervised by American Special Forces, are already operating in a number of places, including part of Marja and an area in Arghandab, and Special Forces units are already looking to recruit men in the newly cleared horn of Panjwai in Kandahar Province, said Brig.
Supervised machine learning for prediction of chemical class membership based on an existing structural hierarchy is an interesting option, but would require large training sets of chemicals that are already classified.
The Fed is already, informally, beginning to supervise these "payment and settlement systems," but Mr. Bernanke suggested that Congress "should consider granting the Federal Reserve explicit oversight authority".
They noted that their country's soldiers were already called upon to supervise security forces in Afghanistan, and that American planes had run hundreds of missions into Afghanistan from the Turkish air base in Incirlik.
Brian Mellitt was a clever, experienced specialist who had already supervised the early stage of introducing moving block on London Underground's Jubilee line extension, then under construction.
