With a trip to third-placed Arsenal on Tuesday the Toffees could enhance their claims further, which is admirable considering the six teams currently above them - plus Liverpool one place below - all have bigger budgets.
"It will be a great achievement if we do secure Europe because we don't have a massive squad," the Frenchman told Press Association Sport.
"We know financially we are not in position to buy four or five players every transfer window but we still compete against teams who spend 10 or even 100 times more than we do.
"From that point of view that is great but at the same time if we qualify for the Europa League or at best Champions League we have a small squad so we might suffer from it and only time will tell.
"All we want is to finish as high as possible."