That could mean the teams finishing in the positions fourth to seventh playing a mini-knockout competition. Such a move would be seen as a measure to inject more competition into the league.
Arsenal should watch their backs, says Aston Villas Gareth BarryGoal-line technology back on the menuCeltic wait on window shoppers ahead of Arsenal rematchThe same four clubs - Liverpool, Manchester United, Arsenal, and Chelsea - have filled the top four positions in five of the past six seasons. Only Everton, in 2005, have broken their stranglehold.
The proposal is thought to have been raised at a recent meeting of all 20 clubs and will be considered again when they next meet in April.
The Premier League have not commented directly on the matter. A spokesman said: "We look at all sorts of ideas and rarely make comment until we have decided something definitely."
If the proposal was to be voted on at any stage in the future, a 14-6 majority could be enough to see it implemented.
The idea may not be favoured by the established 'big four', who would obviously have the most to lose, but the idea is thought to have been enthusiastically greeted by some clubs.
The proposal has been raised at a time when Liverpool's place in the top four is coming under serious competition anyway from the likes of Manchester City, Aston Villa and Tottenham. Nevertheless such an idea would keep interest in the season, even for clubs in mid-table, going for longer.