Richard Scudamore has responded to Sam Allardyce's call for a winter break by saying it has "more prospects than I can remember."
He also said, however, that "something has to give" for one to be agreed, and that an agreement cannot be reached until the next Premier League broadcasting deal, starting from 2019-20, is discussed, which will be towards the end of 2017 at the earliest.
On Monday -- Allardyce's first day as England manager -- the 61-year-old said a mid-season break "would help the Premier League and us at international level if we could achieve that."
FA chief executive Martin Glenn recognised that one could not be in place just before 2019. Premier League executive chairman Scudamore has added the organisation remains "open-minded" to it, but that there are numerous hurdles to overcome.
"There are more prospects for it than I can remember," the 56-year-old said at the launch of Premier League 2, a competition that will succeed under-21s football for the 24 teams involved.
"The Football League and the FA, Martin Glenn particularly, wants to see it happen.
"We are having discussions but it's not easy due to the calendar of different competitions. If it can practically work we are up for listening to it. We are open-minded and keen if we can make it work. We have widened it out to the stakeholders with what is possible.
"We all know what we have to do to create space and something has to give. It would have to be decided by [the] next TV market [agreement], which is sometime end of 2017, and start of 2018. "