"We discussed plans for next season yesterday with Farhad (Moshiri). We have some clarity moving forward now," Allardyce told a news conference ahead of Saturday's league trip to Huddersfield Town.
"Didn't I just say that? For clarification, yes," he added when asked to confirm he was staying for next season.
Allardyce was pleased with Everton's rise during his five-month reign and has urged his team to improve next season.
"We can always strive to do better. We started my reign so well that we built up a great expectation that it might even be better than it is now," he said.
"I think with how hard we've all worked behind the scenes we've achieved a good way forward in the space of only five months - and it is only five months.
"It's been pretty satisfying so far, but one is never satisfied as a manager. You always want your team to do better but overall it's pretty satisfying..."
Allardyce said that midfielder Morgan Schneiderlin (leg) , defender Leighton Baines (head) and forward Dominic Calvert-Lewin (back) would all face late fitness tests ahead of Huddersfield match.
(Reporting by Aditi Prakash in Bengaluru; Editing by Toby Davis)
