The phrase "under close supervision of" is correct and usable in written English.
You can use it when you want to refer to someone who is monitoring or managing a situation. For example, "The production process must be carried out under close supervision of the department manager."
The civilians were not operating controls by themselves but were under close supervision of experienced sailors, said Lt. Cmdr.
Lawyers and agents have been required to sign nondisclosure agreements, and Robert S. Mueller III, the F.B.I. director, assigned the case to an F.B.I. headquarters unit under close supervision of senior bureau officials.
A total of four trained enumerators (one for each kebeles) were hired for conducting the survey under close supervision of the principal researcher.
All data were collected by the first author and three research assistants (always under close supervision of the first author; see "Acknowledgements").
JDO participated in data collection in the field, sample analysis, result generation and interpretation under close supervision of JWM, PSM and PL.
Dave says his rehabilitation at Headley Court military rehabilitation centre, under close supervision of sports medicine consultants, has given him a new goal.
Students under close supervision are part of, not outside of, practice.
However, all delegates remained in active training under the nationally approved specialty training programme during this time frame, with regular opportunity in assisting and performing live surgical cases under close supervision in each of their training hospital unit.
A total of four trained enumerators (one per PA) were hired, and questionnaires were filled under close supervision that allowed replacement of sampled HHs in times of involuntary response or unavailability.
Under close supervision (a physician friend of hers who admired Ameisen's work agreed to give her a prescription), she holed herself in her country home during Christmas break to start the process, always making sure to stay within the recommended dosage.
Other Westchester cemeteries, however, are struggling financially, even under the close supervision of New York State auditors.
