Police are ''fed up'' with gun saturation in Sydney after one of the worst weeks of crime in NSW history.

A sleep-deprived acting Assistant Commissioner Arthur Katsogiannis said it was one of the worst weeks police had experienced, with five deaths and seven public-place shootings in which eight people were wounded.

Busy days: Police and forensic officials near the scene of a double shooting in Westleigh. Credit:Wolter Peeters

The week began with the stabbing death of a woman in a western Sydney unit block and ended with a drive-by shooting at Smithfield that left four men critically injured.

''It's certainly one of the worst crime weeks we've had on record,'' Mr Katsogiannis said. ''Of course we are fed up and I think the community is fed up with it.''