After a close-season in which the club invested nearly 140 million pounds ($187.5 million) and brought back Wayne Rooney to his boyhood team from Manchester United, more was expected and some are already questioning whether Koeman is the right man to lead Everton forward.
They could surpass last season's total away tally of seven points with a win at Goodison Park, although Everton have never lost to Burnley at home in the league. Koeman can only wish Everton were in as good a shape as Burnley.
Koeman has now admitted that his side have no more excuses and said, "It's not time to find any more excuses".
He said: "I don't answer this type of question because it is not the business at this moment".
"Not disappointed with the commitment of the players today because I think it was totally different".
Koeman believes that his side were unlucky not to have been awarded a penalty at Goodison Park, however, while also claiming that the attitude of his players can not be questioned on this occasion.
Palace lose seven consecutive matches, hammered 4-0 by United
United's lead goalscorer Lukaku looked like he was having an off day. Fellaini then scored twice, from crosses by Young and Rashford.
"Of course, we can play better on the ball". But I can't complain about the attitude and the commitment of my players, because that was ideal. "What I expected was to get more goals from other players around the striker".
"That's how we'd like to continue". They did everything. The commitment that was showed today is positive.
"In these circumstances you need to score the goal".
They are a physically strong, well-organised side who are hard to break down so I am expecting a tight game.
"I have experience and I know if you win your life on a daily basis it is different from if you lose".
"Maybe in this situation it's good to have an worldwide break but it's all about the game in two weeks and that's what we have to prepare for".