Allardyce said things were dropping into place ahead of the big Barclays Premier League kick-off on 17 August.
"It's finished off another fine week for us in our pre-season preparation," the manager told West Ham TV. "The level of the game was up a level in terms of the quality of Bournemouth Football Club, which has given us a bit more of a test.
"It was never that comfortable and we took our two goals very, very well indeed and I think we easily could have more. Modibo Maiga hit the post with a delicate chip, which was unlucky for him, and we had a few more chances to boot.
"Results are not that important at the moment. It's more about improving the fitness and we're doing that very well. We're fitter than we were at this stage last season."