At 0620 GMT, leading commercial banks quoted the shilling at 86.10/20 to the dollar, barely moved from Tuesday's closing rate of 86.15/25.
The currency of east Africa's biggest economy has been stuck in a rut in recent days due to sluggish demand for dollars from corporate customers.
It has bucked the trend among major African currencies like the Ghanaian cedi and the South African rand, which came under immense pressure from the recent emerging markets sell-off.
Chris Muiga, a trader at National Bank, said the shilling would receive support from dollar inflows from farm sector exporters for the rest of the week, keeping it within its recent range.