Make sure the base current is more than enough to overdrive (say by a factor of two). For this you need to know the minimum current gain (hFE parameter) for the sort of current levels involved.
Say the transistor has an hFE from 70 to 200 at the current levels involved (it tends to vary especially for high-current conditions). Then assume the current gain is actually 70 (the minimum). If you want to pass 300mA in the collector circuit, then the base current (non saturated) is 300/70 or about 4mA. Double this to 8mA and drive the base with this - should guarantee saturation. You don't want to try and set the base voltage, it depends on temperature in a very sensitive way, control the base current.
You are using 'open' in a confusing way - a current switch is open when it carries no current (the opposite from a water tap. Closed circuit - current can flow, closed tap, no water can flow...
Your particular transistor is available in various gain bands, so without knowing which one choose the lowest hFE value (100) for the BC337.