But he took his team into Sunday's Liverpool game against a backdrop of reports from London claiming he is joining Watford for the 2016-17 campaign.
The Hornets' current boss Quique Flores accepts he may lose his job, despite securing Watford's Premier League status and guiding them to an FA Cup semi-final.
Owner Gino Pozzo is said to be ready to activate a break clause in Flores' contract.
Asked specifically about the Guidolin situation, Swans chief Jenkins told Walesonline: "We are delighted how things have gone, we can't deny that. We're looking forward to getting to the end of the season when we will review everything and discuss options then.
"I'm sure he wants to stay. He's settled in and obviously has had a taste of the Premier League, which is a big thing for him.
"But it's a big decision for us going forward and we need to take our time and go through those options at the end of the season.
"It was always the case that we would review it. I think he was aware of that at the time."
Guidolin worked with the Pozzos during a four-year spell as Udinese manager between 2010-14. He speaks proudly of his time in charge and unearthed Alexis Sanchez, who went on to join Barcelona and Arsenal.
Flores expressed doubts about his own Watford position, saying after his team's 3-2 win over Aston Villa at the weekend: "It's impossible to know what the future holds in football.
"If you look at teams that have done well at this level over the past five years, such as Southampton for example, it is because they have taken time to change.
“If my future depends on the last few results, of course I don't have a future with this team.
“I spoke with the owner for two hours last week and we are at the same point as we were before the semi-final. For me the most important thing is that when I came here, the idea was to keep this team in the Premier League. That is done.
"My CV is very good and I don't feel I need to justify anything. I know what I deserve. I am completely calm, happy and my target is to enjoy the rest of the season."
The win over Liverpool which ensured Swansea's Premier League place will have done Guidolin no harm.