The Swans were linked with England U21 international Ince last summer and are reportedly in the market for a new winger with Pablo Hernandez, Nathan Dyer and Roland Lamah all currently injured.
Jenkins admits Ince, 21, fits the profile of the type of player Swansea want to add to their squad, but insists a transfer is not imminent, although they recently confirmed making a new approach.
"Looking at young British players, Tom is one of them and he performs well with the England Under-21s," said Jenkins.
"At our club, at our level, we always look for young players we can possibly add to the squad but whether we get any further with Tom Ince or other players remains to be seen.
"At the moment it is pure speculation, but young players are always great to bring in, to see their careers develop, and we feel our club is right for that."
Laudrup echoed Jenkins' comments but insists he is unaware of any formal offer for the player.
"I can't really say much about it. Thomas Ince is a talent who has been playing for England at under-21 level," he said.
"It's one thing playing in the Championship and another in the Premier League but I do think he is one for future for whoever picks him up."
Swansea are also interested in bringing in another striker, with a loan move for Liverpool's Iago Aspas a possibility, but Jenkins does not expect a flurry of January activity from the Welsh club.
"At Swansea we try our best to do our business in the summer and to make sure our squad is more or less right," he said.
"There are times now and again when bringing in the odd player in January can boost morale, boost the team and get results and there's no doubt there are going to be a few clubs that do that before the window ends."
Newcastle have also been linked with a move for Ince but Sky sources understand no inquiries have so far been made.