His father was a civil servant who worked in many parts of the country, Daggash had his primary education in several schools in the North and South of Nigeria.

He was part of the first batch of Nigerian Air Force officer cadets and received his basic military training in Kaduna.

He completed his military training in Faßberg Air Base, Germany where he obtained a diploma in Aircraft Maintenance Engineering.

Daggash is considered to be one of the few thoroughbred officers who rose through the ranks without ever holding a political appointment even though the military were in government for 28 of the 36 years he served.

On 3 October 2019, Daggash received an honorary doctorate degree in military science from the Nigerian Defence Academy.