Sky Sports News is reporting that next month Premier League clubs will discuss increasing the numbers of substitutes allowed on match days, from seven to nine.
Clubs will still only be allowed to use three substitutes - but it is understood Manchester United and Chelsea are leading the push to add another two subs to the bench.
In 2008, the Premier League increased the numbers of subs allowed from five to seven.
The proposals will be discussed at the Premier League's AGM in June.
Other changes for the next campaign will include a brand new substitute board - complete with a new sponsor in Tag Heuer.
Nike will launch the new 2016-2017 Premier League ball later this summer and the new Premier League logo will be seen everywhere - including on the sleeves of all players - and without the Barclays logo after the title sponsorship deal came to an end.