Rand eases just 0.11 percent to trade at 13.7300/dollar by 0651 GMT after closing Wednesday's session in New York at 13.7150.
Government debt also mostly flat, with yield for 10-year paper dipping half a basis point to 8.645 percent.
Blue chip futures index inches edges up 0.31 percent, pointing to a slightly firm start for the Johannesburg stock market at 0700 GMT.