The intra-Layer No-Insulation (LNI) method achieves self-protection characteristics against quenching in a layerwound REBCO coil, owing to a current bypass function associated with the copper sheet inserted in each layer. The selfprotection is strongly influenced by the electrical contact resistivity (ρct) of the interface between conductors and copper sheets. In particular, a coil requires a high ρct value, typically of the 100 mΩcm 2 -class. However, the ρct value of a coil substantially changes due to external disturbances such as thermal cycles and electromagnetic forces. Therefore, it is vital to develop a technology to form an interface that provides a desired ρct value and that is stable against external disturbances. In the present work, we developed a basic method to form a resistancecontrolled (RC) interface with a layer thickness as thin as ~30 µm, using epoxy resin mixed with conductive and insulating fillers, which respectively act as current bypassing paths and spacers. A certain value of the mixing ratio of the conductive fillers provides a target ρct value from a wide range from 1 mΩcm 2 to 1,000 mΩcm 2 . An RC interface-implemented LNI-REBCO coil exhibits a stable ρct value under thermal cycles and selfprotection against an overcurrent quench in liquid nitrogen.