South Africa's currency fell to a session low of 10.6730 at 0636 GMT, down more than 0.4 percent on its previous close, although that was still within Monday's trading range.
The rand is expected to stay within recent levels as dealers see little in the domestic calendar to provide trading opportunities until the release of retail sales data on Wednesday.
Investors will also be watching the Ukraine-Russia crisis, a key driver of global risk appetite in recent weeks.
Easing political tensions could boost the rand and other emerging market currencies seen as riskier assets, although the local unit tends to underperform its peers.
Dealers are leaning towards a more bearish outlook for the rand in the short-term, with the dollar index continuing to rise.
The rand should find initial support at Monday's low of 10.7175, dealers said.
Yields on government bond yields were flat at 8.32 percent on the benchmark 2026 issue and at 6.715 percent on the paper due next year.
Dealers expect sideways movements until around 0900 GMT, when the National Treasury closes its weekly fixed income sale.
The Treasury has offered 2.35 billion rand ($220 million) between its 2032, 2037, and 2044 bonds. Dealers are expecting a decently supported auction, with results due after 0900 GMT.