The Swansea City Chairman also insisted that the board meeting was not called to discuss the manager's future although he admitted that they would sit down and discuss the season just passed and plans for next season.
Jenkins told the Western Mail “There are no doubts in our minds, we know how we want to run our club.
“It is up to individuals whether they want to work within those parameters. The budget is not their choice, it’s ours because we run the club.
“We have got the club where it is today by running it our way. We will continue to do that and I think the majority of our fans support that decision.
“I can assure everyone that we won’t be following the dangerous paths other clubs have gone down.
“There is no doubt, with the increasing parachute payments, that it will get harder, but we just have to remain big and strong and keep working harder to make sure we compete.
“We each want things to be different, but the fact of the matter is that we have got what we have got and everyone knows that.
“We have done well with it so far and I don’t see why things will change.
“Every manager wants more and more. That’s natural, it comes with ambition and it’s what you get when you are competing to get in the Premiership.
“I think Paulo is fully committed to the way we run the club, though. He knew that would be the case when he joined us and I have confidence he is committed to remaining on that basis.
“I can’t really comment on what Paulo said because I wasn’t there,” Jenkins explained. “But this is a general board meeting and it was not called to discuss Paulo’s future.
“He has got two years remaining on his contract and that’s the situation with Paulo. We have to discuss how the season went and what we should do next season – as we always do.
“I think the club has had a very good season, especially when you consider what we lost over the summer.
“But, when you take the last two months in isolation, which is only natural, you can’t hide from the fact it’s disappointing.
“I don’t think Paulo gets his points across properly at times. What comes out in the papers isn’t always what he means to say.
“We have to take that into consideration and put things in context. He is a passionate man and sometimes, in the heat of the moment after games, things don’t come out the way he would like.”