The top court had recently quashed 88 mining leases in the state, with extraction of ore allowed only up to March 15, 2018.
"We are not in favour of forming any kind of corporation to handle these leases. The proposal for forming a corporation is not viable as the state government will invite multiple problems," Mr Parrikar said in a statement issued in Panaji this evening.
Mr Parrikar was responding to the demand of forming a state-run corporation to handle the mining business.
He said that there seemed to be variations in the earlier orders of the SC, adding that his government would ensure that mining resumed in Goa as early as possible.
He said that the closure of the leases would not have a major revenue impact on the government but "those dependent on mining could face the heat of the order".