The Scottish Government has pledged to create the new areas, as part of a scheme to attract new business into places which need an economic boost - with a particular focus on the low carbon manufacturing sector.
And SNP man Stuart McMillan has met the minister for enterprise, Fergus Ewing MSP, to push Inverclyde's cause to be one of the four areas given the status.
He believes the district is an ideal candidate for the programme and says it would deliver significant benefits.
Mr McMillan, right, said: "I was pleased to have the opportunity to sit down with the minister and Scottish Government officials to highlight the case why Inverclyde should be seriously considered as a future enterprise area.
"As I have stated before, I believe Inverclyde is well placed, in terms of knowledge and workforce, to help drive the renewables industry forward.
"Therefore, the benefits of an enterprise area to Inverclyde would be vast, in terms of employment opportunities and growing the local economy."
Mr McMillan said that, as well as discussing what Inverclyde has to offer, he also spoke to Mr Ewing about the social and economic challenges still faced by the area.
He said: "The minister is firmly aware of the issues surrounding Inverclyde, such as population decline and unemployment.
"I hope he will take on board my proposal as to why Inverclyde should be considered as an enterprise area."
The Scottish Government is currently working on proposals for the enterprise zones, with funding expected to be allocated during the next financial year.