He had been expected on Monday to take up the post of first VP in another solidarity government.
This is a key part of the arrangement went for consummation over two years of contention.
The US said it was disillusioned by Mr Machar's "wilful choice" not to comply with his own particular responsibilities.
His group said the deferral was brought about by logistical and regulatory issues and that he wanted to return on Wednesday.
An announcement from the legislature on Tuesday had said Mr Machar's arrival was postponed as "he needed to accompany a stockpile of arms... against tanks, laser guided rockets and overwhelming assault rifles".
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