Speculation surfaced following Saturday's 2-0 loss at West Ham that Laudrup's tenure as boss could come to an end as Swansea fight for their Premier League status.
"I haven't heard anything in reference to Michael and neither have we met, or discussed, or done anything about Michael," Jenkins told BBC Sport Wales.
"A couple of us did actually meet up on Sunday morning to have a cup of coffee like we normally do
That's as simple as it was
That's where the first rumour came from.
"It's difficult for me to say anything because there isn't anything to discuss.
"When you end up losing matches, when everything is so tight at the bottom of the Premier League, you get rumours and you get stories
We have had them for many weeks.
"If we win everything is fine
If we lose it's not."
The Upton Park defeat left the Swans with one win from 10 Premier League games ahead of Saturday's south Wales derby at home to Cardiff.
Swansea are 12th in a congested table, two points above the Hammers, who occupy the final place in the relegation zone, three points clear of 19th-placed Cardiff and five points better off than bottom club Fulham.
Jenkins added: "The bigger picture as always is winning a Premier League match and it so happens this week we are playing Cardiff.
"Winning the match, I can assure you, is the most important thing for both teams."
Source : PA
Source: PA