The 12 Scottish Premier League clubs have reached agreement for a 10-team top league and a second tier of 12 teams.
The SPL will now consult with the Scottish Football Association and the Scottish Football League to discuss the idea.
A top tier of 14 teams had looked the most likely alternative to the 10-10 arrangement proposed by the SPL after some clubs had voiced reservations.
A statement released by the SPL after the meeting said: “The Scottish Premier League clubs today reaffirmed their commitment to the work of the Strategic Review Group to develop a structure for the whole of Scottish football.
“Broad support was given to progressing a 10-team Premiership and a 12-team Championship at the top of a pyramid for Scottish football as the preferred option.
“The SPL clubs have asked the executive team to further develop aspects of these proposals and to update the Strategic Review Group’s report.”
Following the first meeting of all 12 clubs on 4 January, a 16-team league, known to be popular among fans, was seemingly dismissed as unworkable.
No vote was possible at Monday’s gathering, since a formal resolution needs to be put to clubs 14 days beforehand and that had not happened.