Roller ball castors would be a practical solution. 5/8” roller balls would lose you about 2cm in height, but they could be mounted to a recessed piece of ply. Allowing for clearance, that would give you maybe 11cm of depth for storage. Is that too little?
Anyone here with decent woodworking skills able to build me something similar to the below to be used as under sofa storage?
The sofa is quite low, space underneath it is 182 x 92 x 14cm, so imagine it would need to be on recessed wheels.