''They have got to shake that chokers tag. They keep missing out in the big moments, the big tournaments,'' Border was quoted by the Herald Sun as saying.
Border, however, admitted that on current form the Proteas certainly deserved to be at the top of the table.
''They are a quality team, they deserve that No.1 ranking at the moment (but going) into the World Cup, do you want that around your neck or not?'' he added.
The South Africans have been ousted from the last two World Cups under heart-breaking circumstances. In 1999, the Hansie Cronje-led side lost the chance to make it to the final after a thrilling tie against eventual champions Australia in the last four stage.
In 2003, they failed to make it to the knock-out stage after another nail-biting draw, this time against Sri Lanka. Shaun Pollock's men ended up making a huge blunder in their mathematical calculations for the rain-affected match, which ultimately cost them the chance to win the coveted trophy at home.
However, the Proteas are in fine ODI form currently and have won 13 of their last 16 matches, including a 3-2 series win over defending champions Australia.