The Black Cats once again produced some impressive late-season form to avoid the drop this term, but in recent campaigns have got off to a slow start the following year and ended up sacking the manager.
However, Allardyce believes that the confidence gained from losing just one of their last 11 matches will carry over into next season.
"The confidence will go into next season. All the players can come back with a spring in their step," he told reporters.
"We averaged two points per game over the last six games, that is top six stuff in the league.
"To think we had 12 points in six games, and only finished fourth from bottom, is a pretty miraculous total. Like next season, let's get 12 points in the first six games, not the last."
Sunderland finished their season with a 2-2 draw against Watford at Vicarage Road this afternoon.