How to I repair a wire in a vintage coffee pot?

there is an electrical wire in an old vintage percaltor that needs "support" repair. The wire is a very thin white substance that is encased with thin wire spaced out so the wire looks like a coil. There are breaks in the white substance but the wire is still connected. Electrical tape will not work as it will melt. This wire gets hot. What should I use to put support around these breaks in the white substance?

GE Pot Belly Percalator. Not sure of the year