De Guzman made an instant impression in south Wales following his arrival on a season-long loan from Villarreal last year, scoring eight times in 45 appearances in all competitions.
And the club are determined to bring the 25-year-old back to the club, with reports suggesting the Swans are close to securing another year-long loan deal.
"I have met with Jonathan's agent and he is comfortable with where we are at," said Jenkins to the South Wales Evening Post.
"Hopefully we can tie something up with Villarreal soon. We are optimistic about that happening."
De Guzman was one of the star men for Michael Laudrup's side last season and his performances earned him a call-up for the Holland national side, and he has gone on to make five appearances.