The former Bolton and Newcastle boss joined the club in November and has guided Everton away from danger.
The Goodison Park side currently sit eighth in the Premier League but there have been some calls from supporters for a change in manager regardless.
A banner was spotted calling for Allardyce's departure in the crowd during Monday's 1-0 home win over Newcastle.
However, Allardyce says he has been making plans for next term with owner Farhad Moshiri.
"We discussed plans for next season yesterday with Farhad," Allardyce told reporters on Friday. "I think we have some clarity moving forward now.
"I think our pre-season, in terms of when we start back and where we go, is nearly in place."
When pressed on whether or not he was definitely staying, he added: "Didn't I just say that? For clarification, yes."