A decision on the plan will be made at the council's full meeting on Tuesday night.
The proposed Gore contribution would be part of a province-wide $350,000 package designed to attract one of England, Wales, Scotland or Ireland - to be based in the South and play its "home" games at Rugby Park, in Invercargill.
Various Southland local authorities met rugby officials and potential funders last month to consider financing the bid.
Rugby Southland chief executive Roger Clark said it would cost about $456,720 to host a team and two pool matches.
The local share of this would be $274,970, with the New Zealand Rugby Union meeting the balance as well as paying for daily accommodation and meal costs during the team's stay.
Clark said local funders might also need to contribute up to $27,000 to cover items such as "town dressing", including flags, civic receptions and information kiosks, while insurance policy costs of about $30,000 would also have to met locally, bringing the total package cost to the province to about $332,000.
A funding formula, prepared by Clark, estimates the Invercargill City Council's share would be about $98,000, Southland District Council's just under $30,000 and a $13,687 contribution from Gore.
He hoped three key community funders - the Invercargill Licensing Trust, Community Trust of Southland and Mataura Licensing Trust - would provide the other $209,000.
World Cup match venues will be known next month but the decision on who will be hosting which teams will not be finalised until September.
In 2006, the council gave $4000 towards a Local Government New Zealand zone six investigation into the possibility of having one of the tournament's five pools based in the South.
Because the $13,687 is not included in the council's draft 2009-10 estimates, it would need to be included in the draft long-term council community plan, which includes everything the council wants to do and pay for over the coming decade.