The Banksy-designed vest features alongside artefacts from Shirley Bassey, Sade and Craig David.
The original YouTube experience from 2005 has been recreated using internet archives.
A spokesperson for the museum said they are in "close dialogue" with the school.
Photographs of David Bowie and Nile Rodgers recording Let's Dance in New York will feature.
Spanning four levels, the museum is now home to more than 250,000 objects.
Members of UVW union at the Science, Natural History and V&A museums will walk out in February.
The unique design was found in an Oxfam shop after it went missing from the designer's warehouse.
The V&A Museum announces plans for a new South Asia gallery, displaying a rare ceiling from India.
Huddersfield Uni's Dr Iona Murphy becomes adviser to a top London Museum's Taylor Swift exhibition.
