Veivers' father Jack Veivers played rugby league for Souths Brisbane and Queensland; his cousin Mick Veivers represented the Australia in the 1960s and his cousin Tom Veivers played Test cricket for Australia.
In December 1963 he scored 123* for a Combined XI against the touring South Africans, it earned him a place in the 12 man squad for the second Test however Tom Veivers was selected ahead of him.
Veivers' father Jack Veivers played rugby league for Souths and Queensland; his cousin Mick Veivers represented the Australia in the 1960s and his cousin Tom Veivers played Test cricket for Australia.
He was selected for his first Australian squad in 1962, playing in an Australian XI against the visiting English team, in which he was hit for two sixes by Ted Dexter in his opening over.
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