Allardyce is delighted with the impact of Jussi Jaaskelainen as Green's replacement.
He said: "We wanted Robert Green to stay but in the end we felt his demands were too much for ourselves in our first year back in the Premier League. So Robert moved onto QPR and Jussi came in.
"There is no doubt about the value of signing Jussi.
"When I signed him my fear was not about his ability, as I knew he had ability after working with him at Bolton.
"But wasn't sure still had the drive and determination to put that back into this league again.
"He'd been bombed out by Owen Coyle and not selected for most of that season.
"So that was my fear, was he past his best? But since pre-season training and getting himself back into the groove he's been an excellent acquisition for us.
"And it's now sorted for next season."