727 shift cable housing repair

:banghead:

When I built my '62 Valiant V8 conversion, I screwed up: I ran the 727's shift cable too close to the exhaust, and it burned a hole in the outside rubber sleeve. Now ATF is leaking out of the cable onto the exhaust, making clouds of smoke. A friend of mine at a transmission shop told me I should be able to remove the transmission end of the cable, clean up the burned area, slide some heat-shrink tubing over it, and hit it with a heat gun to seal the hole. Does this sound feasible to you? The largest heat-shrink tubing I could find was 3/8" diameter, which is larger than the cable housing itself, but will it fit over the tranny end of the cable? Thanks in advance for your advice. Bill Crowell

Sorry Bill but I'm missing something here. Why do you have ATF in the shift cable to begin with.

Terry