At 0630 GMT the rand was 0.37% firmer at 14.2675 per dollar compared to Friday's close of 14.3200.
The rand has gained more than 3.6% since last Monday, hurdling key technical resistance levels on its way to a 5-week best as the greenback was dragged down after the Federal Reserve last week opened the door for a potential rate cut as early as next month.
The European Central Bank also looks set to continue its stimulus programme.
On Friday ECB President Mario Draghi repeated a dovish monetary policy message to European Union leaders, saying that any deterioration in economic conditions would trigger additional stimulus from the bank.
A Reuters poll on Friday sees South Africa's Reserve Bank cutting interest rates next month or in September to boost economic growth after a deep first quarter contraction.
Bonds also gained, with the yield on the benchmark government bond due in 2026 down 2 basis points to 8.1%.