Raybloc in Bilston Lane, wants to demolish workshops and disused plant buildings to create a new production unit that will enable it to increase its operation.
If Walsall Council planners grant permissions, bosses say it will create six jobs to add to the current team of 10 working on the site.
They also said the new unit would link to the part that would be retained and save staff having to go from building to building when they are working.
The company, formed in the 1990s, provides shielding equipment to hospital x-ray departments, dentists, vets and other companies around the world. It moved on to the current site in 2004.
In the application, agent Stephen Symonds said: “Over the past 18 years Raybloc has expanded from the manufacture of high quality affordable products for hospital x-ray departments to the production of total radiation shielding solutions for private practices, dentists, vets, industrial, commercial and nuclear situations both around the UK and worldwide.
“The business is continuing to grow as a result of which the company is looking to improve and expand facilities on site to enable streamlining of operations and greater output both now and into the future.
“Through the introduction of the new production unit a number of operations can be carried out within a single purpose made structure without the need to move between individual buildings.
“The new building has been designed to incorporate mezzanine accommodation for staff, bringing improved, and expanded, staff changing facilities, toilets and canteen / rest room together in a single location on site.
“It is envisaged that this will create an additional five to six full-time jobs within the company.”