Alder Hey Children's Hospital in Liverpool is to spend £2m on removal services when it relocates staff and equipment from its current site to the new £237m facility nearby in 2015.
A tender notice has been published by the Alder Hey Children's NHS Foundation Trust for land transport services, including armoured car services, and courier services.
The two-year contract will be awarded to at least two and a maximum of four suppliers.
The new hospital is being built by the Acorn consortium of John Laing, Laing O'Rourke and Interserve, with architect BDP, and is due to open in September 2015.
Alder Hey is a specialist paediatric hospital serving more than 200,000 children and young people of Merseyside and the North West of England every year.
The trust said this week the handover of the new build is forecast as March 2015 with a commissioning window of six months for a go live date in September 2015 although this is 'subject to change'.
The procurement notice said: "The scope of works is to relocate medical, non-medical and fixed equipment together with the de-commissioning and disposal of some items of equipment in line with EU Legislation, relevant ISO and British Standards."
The deadline for expressions of interest is midday 23 December.
The hospital declined to comment further.