The Dutchman took over the reins at Goodison Park during the summer and he made a flying start to life on Merseyside, avoiding defeat in his opening six matches.
The 53-year-old has found the going a lot tougher in recent weeks however, with the Toffees winning just one of their last eight matches in all competitions, but he remains confident that he can fulfil his ambitions for the Merseyside club.
"I'm really, really happy that I made the move to Everton because I think it's a big club," Koeman said. "We know it's a project, it's not an easy one, but okay we are totally confident that we can reach finally what we'd like to do with Everton."
Koeman concedes that he will have to act quickly if he is to achieve his goals at Everton, as time is not a luxury usually afforded to managers in the professional game.
He added: "You cannot change everything in two months. We need more time and that's difficult because you don't get time in football."