The Amsterdam giants are keen to take Landzaat back to Holland and have admitted to make an approach for the 31-year-old.
Ajax are now seeing whether they can broker a deal to take him to the Amsterdam Arena.
"What concerns me more is the time. Perhaps we could set up a loan deal with the possibility of a permanent move in the summer."
Landzaat's agent Sigi Lens admits he knows of Ajax's interest but denied a deal was in place.
"It is not correct (that a deal has been done)," Lens told Voetbal International.
"Denny is happy to be playing in such a beautiful competition, but that does not mean that Ajax is not attractive."