The dissenting voices came from outside the elite clubs in the division, with concerns raised that being able to substitute on more players would be of greater benefit to wealthier clubs.
The three newly-promoted teams – Leeds, West Brom and Fulham – are among those to have voted against five substitutes. They are instead keen to return to just three, with a bench made up of seven players.
Chelsea, meanwhile, are believed to have heavily backed the adoption of the current rule once again.
11 top flight teams had shared their disapproval with the proposal at a shareholding meeting
League rules state that 14 votes must be placed in favour of any change in order for it to be adopted.
The five-substitute rule was introduced, along with drinks breaks, after the coronavirus-enforced hiatus to ensure that players were protected.
The new rule was introduced for the league’s restart to avoid physical strain on the players
Up to nine players could be named on the bench as part of the measure, although changes were required to be made on a maximum of three different occasions to prevent a constant break-up of play.
The International Football Association Board (IFAB) gave the green light to proposals permitting five replacements next season last month.
But the Premier League had not confirmed whether they would be falling in line amid heavy criticism over the divisive law change – and a vote was taken at today’s meeting.