Actually it was designed in the 1920's. It should stay the same as it did when it was first worn
The V design is not from the 1920s. In the 1921-22 Kangaroo Tour the "Australiasian" team wore "sky blue jerseys and navy blue shorts... [t]he badge was a big "A" surmounted with the fern and kangaroo in red, blue and black, the colours of Queensland, NSW and New Zealand". (The Kangaroos, Ian Heads, p. 48). On the 1929-30 tour the Kangaroos wore "gum leaf green and wattle gold" (Heads, p. 59), but as the photo of captain Tom Gorman shows (Heads, p. 60) it was the hooped design.
Here's a team photo from that year:
The first Kangaroo touring party to wear that double chevron was the 1933 team. There is a lovely clear photo on p. 78 of Heads' book of Ray Stehr in the green and gold (chevron) with white collar. This is the same photo (with other crap superimposed):
England toured in 1932. I bit of a googling has showed up this photo of the 1932 Australian team:
It's a bit blurry, but if you zoom up you can see the chevron. There is also a photo of Herb Steinohrt on p. 88 of "Captaining the Kangaroos" by Alan Whiticker that shows the chevron, with the badge reading "Rugby League, 1932". And to be completely anal about this, the 1932 photo of Steinohrt shows the chevron being reasonably shallow, the middle vertex being about halfway down the coat of arms, whereas the 1933 Stehr photo shows a very deep chevron the bottom point of which touches the shorts.
I looked up the Sydney Morning Herald for 7 June 1932 (the day after the first test) to see if there was any mention in the story, which there wasn't. As trivia, it did note, however, that "'Dally' Messanger, great player of other days, kicked off and was given a great reception by the crowd while both teams cheered him". How great would
that have been?
http://trove.nla.gov.au/ndp/del/page/1156185?zoomLevel=1
Anyway, my conclusion is that the "traditional" Australian jersey dates from 6 June 1932.