Kinga Roskinska died on 14 March after being stabbed at the flat on Oxhill Road, Handsworth.
Pawel Ondycz, 50, went on trial this week charged with murder, but yesterday (12 December) his plea of guilty to an alternative charge of manslaughter was accepted by the prosecution at Worcester Crown Court.
Kinga, aged 38, was found by paramedics and police officers with a stab wound to the leg.
Despite the best efforts of paramedics, she was declared dead a short time later.
Ondycz was swiftly arrested by officers at the scene.
Instead of calling paramedics straight away after he stabbed Kinga, Ondycz called his friends for help, claiming he did not speak enough English to call 999.
He then falsely told emergency services Kinga had killed herself after she became jealous of another woman.
As part of the Police investigations, they recovered blood-stained clothing as well as various knives from the flat.
Ondycz was charged after admitting to a friend via text message that he had killed Kinga.
Ondycz was remanded into custody ahead of being sentenced next Thursday (21 December).
