And he has opted for Brighton, who fended off interest from two other English clubs for the centre-back.
According to VI, the versatile defender will be used as a right-back by Brighton or in a three-man defence.
He has signed a three-year contract with the option of a fourth, and Brighton have paid around €1m.
Veltman has only ever played for Ajax until now, making 246 appearances after graduating from their youth setup.
— Brighton & Hove Albion (@OfficialBHAFC) July 29, 2020
— AFC Ajax (@AFCAjax) July 29, 2020