The National Treatment Purchase Fund (NTPF) has written to all public hospitals that it sends funding to, seeking confirmation that all work done is carried out in line with its requirements.
The development comes after the NTPF said it took "very seriously" issues raised about an unpublished 2022 report into a CHI facility.
Claims detailed in that report included that one consultant was seeing a number of patients during weekend work via the NTPF system and outside of their contracted hours, during a period in which the consultant was unable to work all of their public contract hours.
Following this revelation, the NTPF placed a temporary pause on all insourcing work with CHI while it initiated a review into compliance, value for money and appropriate use of its funding.
In a statement, it said the pause "will be lifted as soon as the NTPF is satisfied with the assurances given by CHI in this review".
It pushed back against media reports that thousands of children would face delays as a result of this pause, saying these reports were "inaccurate, ill-informed and very disappointing to read".
It said NTPF-funded work accounted for only a small proportion of total work undertaken by CHI.
A spokesperson for the Department of Health said that any patient already scheduled before the temporary NTPF suspension is proceeding as planned.
Outsourcing, where arrangements are made to have patients treated in private hospitals where appropriate, will continue also.
Funding of insourcing patient treatments by the NTPF at CHI hospitals will recommence imminently, a department spokesperson said.
"We anticipate that the funding of insourcing by the NTPF at CHI will recommence imminently," the spokesperson said.
Meanwhile, the NTPF said it had written to all public hospitals with whom it funds insourcing work "to obtain further confirmation that all work is carried out in line with the strict Memoranda of Understanding signed by the hospitals relating to this work and the NTPF's processes and procedures in this regard".
It said a strict deadline of Monday 16 June has been given for the completion of this work.
The NTPF will report on this to the Department and the HSE.

64 out of 2,700 approved CHI procedures progressed
It comes after a review of NTPF funding showed just 64 in-patient and day case procedures at CHI hospitals, out of a total of 2,700 which were approved for this year, have been progressed to date.
The department said this morning that information from the NTPF review also showed that in the case of out-patient department appointments, the NTPF has advised that there are around 115 appointments a week being delivered in this way.
There are 6,432 children on waiting lists for in-patient, or day case treatment at CHI hospitals, latest figures from the NTPF for April show.
Of these, 1,557 children are waiting six to 12 months, 814 are waiting 12-18 months, and 941 are waiting 18 months or more for treatment.
The longer lists are in respiratory medicine with 1,512 children waiting, ophthalmology with 883 waiting, ENT has 730 waiting, orthopaedics with 703 children waiting, and in paediatric surgery there are 567 waiting.
There were also 34,890 children waiting to be seen at an outpatient clinic at CHI hospitals at the end of April.