The governing body wants four divisions of 20 teams below the Premier League by the 2019/20 season.
With 24 teams currently in each Football League division, the plan raises the prospect of seven teams being relegated from the Championship in 2018/19 to allow for three to be promoted, while no clubs would drop out of League Two in that campaign.
Two teams would be promoted from the National League and six other sides would be added to the newly-formed League Three, taking the total number of professional clubs to 100.
The six additional clubs are likely to also come from the National League, although the proposals will reopen the debate on Scottish giants Rangers and Celtic playing in England.
While not ruling out the involvement of the Glasgow clubs, Football League chief executive Shaun Harvey said such a move would be difficult.
"The whole discussion can be had," he said. "But I suspect the wider this gets drawn, the harder it would be to deliver to our clubs and the rest of the stakeholders in the game."
Football League clubs have been notified about the plan and will vote on the changes in June 2017. A 90 per cent approval rate, or 65 of the current 72 clubs, is required to get the go-ahead.
Harvey says the plan, designed to alleviate fixture congestion by cutting down on midweek games, has the approval of both the Premier League and the Football Association.
"The Football League has recognised that fixture congestion is one of the major issues facing the professional game in this country," he said.
"We have seen a number of public spats this year in relation to scheduling and dealt privately with many others. The season only has a number of finite dates, and they are sought by all of us to try to get our games on at prime times.
"Fans and clubs have both suffered, in varying degrees, as a result of competition organisers having to move games to meet essential broadcasting requirements, increasing the move away from the traditional 3pm Saturday kick-off time.
"Also midweek fixtures are often played at a distance and the crowds are usually well below the average.
"To address the number of fixtures and create greater flexibility in the calendar, we are going to ask our clubs to consider a proposal towards altering the structure of our competition."
Should the proposal get the green light, Harvey also plans for discussions on implementing a winter break, scrapping FA Cup replays and moving entire rounds of the FA Cup to midweek slots. The future of the Community Shield will also be considered.
The biggest obstacle facing Harvey is likely to be persuading Championship clubs to vote, like turkeys for Christmas, in favour of the changes knowing an extra four of them will find themselves a division further away from the Premier League.
"Potentially, in the first year, of course," said Harvey. "But thereafter your percentage chance of promotion is increased with four less teams. There's always going to be that first year where that particular set of circumstances will prevail.
"We are looking at change for 2019/20 so clubs have plenty of time to see this coming. We have to resolve how relegation and promotion would be dealt with in the lead-up to that period."
Harvey ruled out the possibility of Premier League clubs fielding so-called 'B' teams in the lower divisions, but they could be involved in a revamped Football League Trophy - until recently known as the Johnstone's Paint Trophy.
The Football League had consisted of four national divisions since 1958, when Divisions Three North and South were merged. The Premier League was formed in 1992, leaving the Football League as three divisions.