Michel Platini is understood to have dropped plans for domestic cup winners to qualify for the Champions League in a compromise which is set to see three Premier League teams handed automatic spots in the competition.
The UEFA president has thought to have traded the scheme in return for securing a deal where from 2009 six spots in the group stage are reserved for league champions from the bottom 40 countries in Europe.
UEFA's strategy council, made up of representatives from UEFA, the leagues, the clubs and the players, agreed to the compromise which will now go to UEFA's executive committee on December 1 for a final decision.
The effect of the change means the fourth-placed side in England will play two qualification rounds instead of one.
The champions of Europe's leading 12 countries, currently including Scotland, will also be guaranteed a place in the group phase.
The six group places reserved for the champions of the 40 lowest leagues among UEFA's 53 member associations will be decided by three qualifying rounds.
A spin-off of the decision is that a new organisation for clubs is likely to be formed that is completely separate from G14, the group of 18 clubs from among Europe's elite, which is expected to be disbanded.