De Guzman has expressed a clear desire to stay at the Liberty Stadium beyond the end of his season-long loan from Villarreal.
And while the Swans boss is keen to keep the Dutch midfielder, he claims much will depend upon the demands of the Spanish second-tier side.
"He is a player I'd like to stay and I hope we can work out a deal with Villarreal," said Laudrup, quoted in the Daily Mirror.
"Jonathan is very happy here but it depends a lot on what Villarreal want. We are going to try what we can and we will see if it is enough.
"We won't buy him in January. He is on loan until the end of the season, and then we'll see."