Everton head to bottom side QPR at the weekend and while David Moyes' team are flying high in fourth, having lost just once, Anichebe stressed they cannot take the winless Londoners for granted.
"I think we've done okay: it's been a good start to the season and everyone is on a high and is confident," he told evertontv.
"We need to carry it on though, not get ahead of ourselves and keep playing well.
"They (QPR) are struggling so it is going to be even harder because they need results - they've bought a lot of players and have a lot of expectation on them.
"They haven't really done so well so I am sure they will look to change that against us and we need to be wary of that."