The Scottish Football Association made the announcement after a meeting of the professional game board which they described as "extremely productive".
The board contains the executives of all three football authorities and the meeting came in the wake of agreement from the 12 top-flight clubs earlier this week over plans for two top divisions that split into three groups of eight midway through the season.
An SFA statement, issued on behalf of the board, read: "The Scottish Premier League and Scottish Football League have agreed to set up a working party of nominated club representatives to expand on the extremely productive meeting held today by the Scottish FA's professional game board regarding league reconstruction.
"It is intended that the first meeting of the working group will take place later this month and will also include representatives of the Scottish FA board. The PGB are greatly encouraged by the willingness on both sides to engage on the many areas of common ground and also in their commitment to implementing change.
"After the working party have reached consensus on a final set of proposals, they will be presented to all clubs across SPL and SFL for consideration."