Wow--I had already answered this but it disappeared--must've been while Ben was taking care of the spammer.

Anyway--as an alternative to the return stream, you can always drizzle the bleach in the pool from a cup held as far out over the pool as you can reach, and then stirred up with a clean broom, boat paddle, etc...the idea is just to disperse the chlorine in the pool as quickly as you can to prevent pockets of it against the liner.