In the lead-up to her violent death, a Sydney hairdresser known to friends as Nasrin Abek, 35, was allegedly stalked by her husband.

And on Wednesday he allegedly finally caught up with her and killed her inside their Potts Point unit.

Fairfax Media understands Amir Darbanou, 42, was growing increasingly angry with Ms Abek, and believed she had been unfaithful.

Ms Abek and Mr Darbanou were originally from Iran but had been living in Australia on bridging visas for the past four years, police said.