England's top flight have been pondering playing an extra league match overseas for a while now and according to Swans chief Jenkins, it will occur in a year or so.
Jenkins said the development was almost certain to get off the ground and pinpointed Asia, India, South Africa and America as potential destinations where official Premier League fixtures will take place.
"I think it is inevitable it is going to happen," he told Wales Online.
"While we may not be 100% about it, as passionate football supporters just watching football as we have, it's going to be a big change.
"The other side of that is we have got to make sure we are on the bandwagon with them or we are going to get left behind otherwise.
"There's definitely going to be a run of games played abroad in 12 months or two years.
"Whatever happens with the changes in the Premier League, we have got to be finishing high enough to be part of it.
"That's where it's going to be and where the money is.
"It's a sad reflection of where football is but unless we are part of that, it's inevitable we are going to fall behind.
"We have got to make sure, whether we like it or not, we are on board with it."
Jenkins added: "The Premier League itself is looking to play different games in Asia, India, South Africa and America as well.
"All these things are going to expand and get bigger and bigger."
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