Schultz said at least two members of the MPC could vote in favour of a 25-basis-point cut. At the committee's May meeting, only one of the six committee members voted for a cut.
"This should send a signal that September is a 'live' meeting," he said.
At 5.4% in May, inflation has been slowing after a drought last year and will probably average 5.4% this year and 5.3% next year.
The rand is expected to end this year at R13.60 per US dollar. It is currently at R12.96 with slower rate increases now expected in the US.
Wall Street's top banks brought forward expectations for when the US Federal Reserve will begin reducing its $4.5-trillion (about R58.4-trillion) bond portfolio to as early as September. They see balance sheet reduction as more of a priority than another rate rise.
South Africa's economy is expected to expand 0.7% this year and 1.2% in 2018, after contracting 0.7% in the first quarter.
South Africa's finance minister has laid out a 14-point plan to lift the economy out of recession. It includes the sale of non-core assets and partial privatisation of state-owned firms.