Kenneth Gibson and his wife Patricia - the MP for North Ayrshire and Arran - lost their baby towards the end of her pregnancy in 2009.
Staff at the Southern General hospital in Glasgow had failed to spot that Mrs Gibson had pre-eclampsia.
A review of baby deaths at Crosshouse Hospital was announced on Tuesday.
It came after a BBC Scotland investigation revealed that there had been six so-called "unnecessary" deaths of babies at the hospital since 2008.
"Unnecessary" or "avoidable" deaths are referred to as those where harm was caused to a healthy baby during childbirth - usually resulting in them being deprived of oxygen.
Reports into some of the deaths referred to failings in monitoring of the child's heartbeat during childbirth.
Speaking in the Holyrood chamber, Mr Gibson urged Health Secretary Shona Robison to make the review "wider and deeper" so it could look at similar cases in other hospitals across the country.
His wife has previously opened up in the House of Commons about the "devastating" effect of losing her baby.
Mr Gibson said: "On her due date in 2009, my wife Patricia, having been sent home and been physically sick, was finally admitted to the Southern General maternity unit despite their protests.
"A consultant junior doctor and two midwives examined her that day. Despite being 41, a first-time mother and in extreme pain from head to toe, no-one picked up