The organisation met with fans' groups on Thursday, with a section of the support unhappy with chairman Michael Johnston's running of the Ayrshire outfit.
Most recently, the Rugby Park chief's decision to offer Celtic fans discounted tickets for the Scottish Premiership game between the two sides sparked protests.
Johnston announced plans on Thursday to offer two fan representatives a place on a newly-formed board, saying he will hand season-ticket holders and shareholders the chance to elect a new board member each.
Local politicians will also be invited to take part in the new company structure.
As well as talks with Johnston and local businessman Billy Bowie, who has agreed to invest B£1million in the club, Supporters Direct Scotland also met with fans this week.
Head of the organisation, Paul Goodwin, said: "Following a vote, and subsequent request, from a gathering of around five hundred Kilmarnock fans from recognised fans groups - The Kilmarnock Supporters Trust and The Kilmarnock Football Club Supporters Association - Supporters Direct Scotland has agreed to chair a working party with the main focus being developing ways to bring their club into community ownership.
"The gathering, on October 10, agreed a range of measures that would be presented back to the fans, and to the club, in the near future.
"Supporters Direct Scotland also met with Michael Johnston and Billy Bowie of Kilmarnock FC on Wednesday of this week.
"At the meeting we were asked whether there was a possibility of us pulling together a club-led working party of fans to look at community involvement.
"We highlighted the challenges involved in a club-led working party given the current concerns many fans have.
"We will now work with the fans on moving towards a more robust governance model and a pathway to community ownership, and will continue to mediate with the club on these matters as required."