Ms Oswald joined colleagues in writing to the Prime Minister demanding support for the thousands of women who lose their babies before their term is complete but have no time off to grieve.
The letter asks that the UK "follow in New Zealand's footsteps" and provide three days of paid leave for women who have experienced a miscarriage at any stage in their pregnancy.
Under current UK law, there is no obligation on employers to provide bereavement leave if an employee or their partner loses a baby before the 24th week of pregnancy. Businesses only have to provide paid leave if a child is stillborn after 24 weeks.
The only way women can get time to grieve under current rules is by taking annual or unpaid leave or by requesting compassionate leave, which may or may not be granted.
Ms Oswald said: "Losing a baby is a traumatic experience at any stage of a pregnancy, and parents need adequate time to grieve,"
"That is why I have joined MPs from across the House in urging the Prime Minister to follow the example set by India and New Zealand's and introduce paid leave for anyone who suffers a miscarriage.”
"We need to break down the silence and stigma around baby loss, help to build greater awareness, and provide the support needed by those who experience a miscarriage."