Dense water near the poles sinks, creating a current towards the equator. What would you expect to happen to the current if temperatures at the poles decreased?

Dense water near the poles sinks, creating a current towards the equator, we would expect to happen that if temperature at the poles decreased the current will increase in speed. Similarly, if the temperature at the poles increased the current will decrease in speed. And if the temperature at the equator increased, then the current will increase in speed.