United backed up their 4-0 season-opening win against West Ham by running riot again at Swansea yesterday.
Eric Bailly, Romelu Lukaku, Paul Pogba and Anthony Martial netted as United notched four goals in their opening two league fixtures for the first time in 110 years.
But Mkhitaryan has promised United won’t get ahead of themselves, saying: “Let’s not rush because it’s only two games played.
“We still have 36 games to play in the Premier League.
Manchester United: Team average – 7.71
“Let’s go just step by step and at the end see where we arrive”
Manchester United star Henrikh Mkhitaryan
“So let’s go just step by step to try and win every game and at the end see where we arrive.”
Mkhitaryan has already provided four assists this season but his performances have gone slightly under the radar in light of United’s other stars.
He added: “I’m very happy I could assist twice but I enjoyed more of the teamwork than what I have done myself because football is a team sport.
“Last year the atmosphere and environment in the team was amazing but this year it is much better.
“It’s not that something has changed but we have become more close to each other.
“Maybe that’s why our new signings have shown that everything is good and are helping us from the first game.
“We are very happy for Romelu [Lukaku] and Nemanja [Matic] that they are playing and I hope that Victor [Lindelof] is going to start playing as soon as he can.
“We are trying to support them to settle down quick because it’s very important for us that they show their best quality.”