Chair of the Health and Social Care Committee Mark Drakeford warned the assembly that venous thromboembolism (VTE) is a widespread condition that can cause death.
He was speaking during a debate on the health committee's report on VTE, on 5 December 2012.
VTE occurs when a blood clot develops in a vein, dislodges from its original location and blocks a blood vessel.
The committee's one day inquiry concentrated on what can be done to prevent patients from developing VTE in hospitals.
All five of the committee's recommendations have either been accepted in full or accepted in principle.
One of these is that the Welsh government considers asking health boards to comply with the relevant NICE guidance as a priority.
Health Minister Lesley Griffiths has accepted the recommendation in principle, citing a similar commitment that has already been made in the government's quality delivery plan for the NHS.
Committee Chair Mark Drakeford and Plaid Cymru Health Spokesperson Elin Jones voiced their regret that the health minister would not implement the report's findings in full.
Mr Drakeford said: "These aren't controversial measures, we'd hoped that you'd go further than just accepting them in principle."
Health Minister Health Griffiths was persuaded by their arguments and confirmed that she would take steps to make compliance to the NICE guidelines a tier one priority.
A tier one priority is defined as one 'where immediate improvement is necessary or where performance at defined target levels must be sustained'.