The Investec Champions Cup remains a four-pool competition, which includes 24 teams.
The English Premiership, the French Top 14 and the United Rugby Championship have all provided eight teams each.
Clubs from the same league cannot play each other in the pool stages.
Each club will play two matches at home and two matches away in the pool stages, with the top four sides going through to the round of 16.
The teams finishing fifth in each pool will drop down into the Challenge Cup round of 16.
The final will be played at Cardiff's Principality Stadium on 24 May 2025.
"When the tournament is good it is seriously good," said Jones.
"The problem the tournament has is how it gets going, how easy is it to follow, the nature of the pool stage and the logistical challenge of South African sides and the travelling that involves.
"It can get messy but the tournament always seems to ride out those periods and deliver an epic crescendo."