The plans, which also include the refurbishment of part of the firm's current factory, have been lodged with Amber Valley Borough Council.
They will be on show at Bourne's Restaurant at Denby Pottery on 20 February.
Denby MD Garry Biggs said: "We believe that this development will be a real boost for Denby and Derbyshire as a whole.
"We remain committed to maintaining manufacturing at the historic home of Denby Pottery, and we believe this development will help secure the long-term future of the site."
Denby Pottery said its visitor centre, which employs 95 people, attracts about 200,000 people a year. The scheme could create 600 jobs.
The company, which was founded in 1809, was the subject of a £30m management buyout in 2009.