It's being estimated health is underfunded by $250 million following the Budget.
The Council of Trade Unions says some reductions in services and increased user charges have already been announced by the Minister, but these won't be enough to meet the shortfall.
Mr Rosenberg says District Health Boards are losing out by around $88 million.
"And the national services, which include things like child health and public health, those kinds of things probably received around $57 million below what they need."
Mr Rosenberg says $85 million worth of initiatives won't be funded, meaning a $143 million shortfall for national services.
He says further cuts and user charges to the health system seem inevitable.
He says $506 million extra is needed to fund health, just to keep up with rising costs, population growth and ageing.