Swansea play host to Liverpool just four days after Williams launched a scathing attack on Suarez in his new book My Premier League Diary.
The Wales captain wrote he wanted to “knock out” Suarez during last season’s game at Anfield and also accused him of diving.
And Laudrup, Williams manager at Swansea, admits he is not sure if the pair will respect the pre-match Fair Play handshake.
Laudrup said: “I really don’t know. Fair play is important for me, but again if two persons do not want to shake hands then I don’t know.”