Fellaini, who opened the scoring in Tuesday’s 2-1 win against Stoke, hopes to be well-placed if early season pacesetters Chelsea slip up.
The Belgian said: “Yes, I think we wait (for) a mistake, but we have to look out for us, we have take to take it game by game and we will see after. We have a lot of games and we have to (keep winning).”
After a difficult first few months for United coach Luis van Gaal, Fellaini feels the players have now adapted to their new roles.
“We know each other a lot better, we know the manager and the staff, we know the philosophy of the manager,” said Fellaini.
“We train hard as well so we have to continue like that. We have to continue to play to win, it’s important for the confidence.”
After a miserable first season at the club, Fellaini is starting to find form this season and his goal on Tuesday, coming from an Ander Herrera cross, was his first at Old Trafford for United in a competitive game.
He said: “It’s good for the confidence to score the goal. It was a great cross as well, it was a great combination, so it’s good.”
Fellaini also attempted to clear up a moment of contention when he when down clutching his neck in the build-up to Stoke’s equaliser. Fellaini had lost a 50-50 challenge to Oussama Assaidi and it appeared he was trying to claim he had been kicked in the neck, when there had been no contact there.
The 27-year-old said the pain he felt was not connected to Assaidi’s challenge.
He said: “I twisted my neck — I felt the pain, a lot of pain, so (thought) I should go down. That was my mistake.”
Defender Chris Smalling, meanwhile, is confident Manchester United can maintain their winning run despite testing fixtures against Southampton and Liverpool in the next fortnight.
Smalling said: “I think at the moment we are in such a good run of form. We have got that belief back.
“Now we will work hard for the rest of the week because we have got two big games next week (that could) put us up there with the boys around us.”
Smalling felt United deserved their victory over Stoke and, coming after Hull were outplayed on Saturday, he believes performance levels are heading upwards. The England international said: “We have had two good performances where we have played some good football. If we can keep this run going I think we will get better.”