Stefanus Sebastian "Basie" Vivier (1 March 1927 – 18 October 2009) was a South African rugby union player.

[2] A member of the South African Police in Pretoria, he later went mining in the new Orange Free State gold town of Welkom.

South African rugby journalist R. K. Stent, in his 1952 book The Fourth Springboks, described Vivier as the 'side's court jester' who possessed a fine tenor voice.

[6] He followed this the very next match with his first points for South Africa, scoring a penalty as full-back in an encounter with a joint Pontypridd/Newbridge team in Wales.

[2] On his return to South Africa, Vivier continued to turn out for Orange Free State, but was still unable to break into the international side.

The season before Vivier had played the three opening games for Orange Free State, but had then been dropped for the next eight, he also had no international experience.

This led the selectors to find an alternative choice, a player who would have the ability to unite the team; they chose Vivier.

The first Test in New Zealand saw du Rand take the captaincy when Vivier was indisposed; South Africa lost 6–10.