I use a variation on this theme.

First, flush new brake fluid through to a caliper.

Then, using some flexible hose, connect the bleed nipple on the brake caliper with the bleed nipple on the clutch slave cylinder.

Open both bleed nipples a bit, and then slowly pump the brake pedal until no more bubbles come out at the reservoir end. If you have a combined brake / clutch reservoir, the level won't change by much during the process.

Shut off the bleed nipples.

It works best on front wheel drive cars, where the caliper and the slave cylinder are very close to each other.