The report says the committee is "unconvinced that LHBs will come in on budget this year".
His comments come as local health boards (LHBs) publish plans on how they plan to deliver services.
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It is backed with money from the Welsh government as well as Wales' seven local health boards (LHBs).
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LHBs are drawing up plans that could see significant changes in the way services are delivered across the country.
Reorganisation plans are expected to be confirmed by Hywel Dda and Betsi Cadwaladr local health boards (LHBs) next week.
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Was this go-ahead specifically and as a last resort to LHBs who are struggling to cut waiting times for orthopaedic surgery?
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Which is why we get news today of a National Clinical Forum - an independent group of clinicians to scrutinise the LHBs' plans.
The fundamental problem here is clear - it's to do with the way that Welsh LHBs collect and process data on their patients, called coding.
In a report on the Welsh government's draft budget this month, the assembly's finance committee said it was not convinced LHBs could live within their budgets.
They will negotiate proposals for reforms with the LHBs, but if they cannot reach an agreement the CHC has the power to refer them to the minister.
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Local health boards (LHBs) around Wales have been drawing up proposals that the Welsh government says are necessary to put the NHS on a safe and sustainable footing.
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So LHBs are absolutely NOT being given the go-ahead to turn to the private, or independent sector to get out of trouble and hit their waiting list targets?
BBC: Yeah but no but to using the private sector in the NHS?
Mr Sissling said LHBs were addressing the pressures on them.
However on Sunday NHS Wales chief executive David Sissling told BBC Wales there was "increasing confidence" LHBs will hit their break-even targets "without in any sense compromising the quality of care".
Based at a Welsh government-owned building in Llantrisant, Rhondda Cynon Taf, the centre will be an arms-length subsidiary company of the Aneurin Bevan Health Board, acting on behalf of all seven LHBs.
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Welsh Government officials don't hold back about these failings - and part of the reason for publishing the figures today based on such (self-confessedly) shoddy data, one suspects, is to give the LHBs an almighty shove to get their house in order.
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