SPL chief executive Neil Doncaster said he would be open to discussions on change but added that the current system can only change if the clubs vote for it.
That seems unlikely though after BBC Scotland learned on Wednesday that at least five of the 12 SPL clubs would vote to keep the split.
The current system has been in place since season 2000/2001 and was introduced in an effort to add excitement at both ends of the table at end of the season.
Meanwhile, Jefferies thinks he could bring success to Hearts, even if he is forced to halve the wage bill by Vladimir Romanov.
Last week saw the Lithuanian-based owner pay a rare visit to Edinburgh, during which he and Jefferies discussed their plans for the future.
The latter confirmed he was under orders to reduce the wage bill after Romanov warned he would no longer tolerate "mercenaries" at Tynecastle.
"I've been in this game along enough," said the 59-year-old former Kilmarnock and Bradford boss.
"I keep going to chairmen and they keep telling me to cut wage bills!
"So that's not a problem - this one's probably a little bit easier.
"Maybe that's one of the reasons I'm here, so that we can get the wage bill down and still bring in players and build a side that make us successful.
"The wage bill will still be a good wage bill.
"Sometimes, you go to other clubs and you wonder how you're going to do it.
"But, in this case, even cutting the wage bill down will still be sufficient.
"Even if I halve the wage bill here, it would still be a decent wage bill to expect the team to do extremely well."
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