Whirring sound when turning left on cold mornings

[generalragesc]

This whirring sound is only when the car is cold. It occurs when we brake then turn right (i.e. stop sign or slowing down at the intersection). Then the whirring sound stays with us 'till we turn the engine off and leave it off for at least a few minutes. It sounds like something with the steering fluid pump?

When the car is warmed up and we take our time turning right the first few minutes, then this sound does not come. This sound does not come when turning left, only right.

Anyone experience this or know what it is? Is it fixable by myself?

Thanks,
Alvin
2001 X5 3.0i