Juventus midfielder Davids and Chelsea ace Hasselbaink are both struggling with slight injuries and Dutch boss Dick Advocaat has decided to leave them out.
Clarence Seedorf, Giovanni van Bronckhorst, Jaap Stam and Ronald Waterreus are all back in the squad after injury ruled them out of last month's friendly with Portugal.
Holland, who are joint-top of Group Three with Czech Republic, travel to Minsk to tackle Belarus hoping to consolidate their charge for the 2004 finals in Portugal.
Full squad:
R Waterreus (PSV), E van der Sar (Fulham); G van Bronckhorst (Arsenal), F de Boer, M Reiziger (both Barcelona), A Ooijer (PSV), J Stam (Lazio), F Ricksen (Rangers), B Zenden (Chelsea), M van Bommel (PSV), C Seedorf (Milan), P Cocu (Barcelona), P Bosvelt (Feyenoord), R de Boer (Rangers), R van der Vaart (Ajax); P van Hooijdonk (Feyenoord), R Makaay (Deportivo), M Overmars, Patrick Kluivert (both Barcelona), R van Nistelrooy (Manchester United).