Paul Lambert hopes Norwich can maintain their momentum with victory over Sunderland on Monday night and set themselves up for next week's daunting trip to Manchester United.
The Canaries recorded a first top-flight victory at Bolton last weekend which saw them bounce back from a disappointing home loss to West Brom.
Lambert, though, knows full well things are about to get a whole lot more testing.
"We are going up to Old Trafford [in two weeks] where nobody expects you to do anything, so if we can get another win under our belt first, there is a chance we can give it a real good go," Lambert told BBC Radio Norfolk.
"But people will tell you that winning back-to-back games in the Premier League is a really hard thing to do."
Despite the jubilation which greeted a first away Premier League win over a span of 17 years for the Norfolk club, Lambert - who has overseen successive promotions from npower League One - is determined to keep things in perspective.
"You can't forget where you were. If you do that then I think you are making a grave error, like thinking you have arrived and that it will be easy," said Lambert, who had made half-a-dozen changes at Bolton.
"It is nothing like that at all. In my own mind I know what has been achieved here."
The Norwich manager added: "I will never forget that two years ago we were in League One, and we were there for a reason - it is not a place you want to go back to.
"The football club on and off the pitch has moved on dramatically, which is great."
Norwich had produced some positive displays on their return to the Premier League following six seasons in the wilderness, if without the reward of a maximum-points haul.
Lambert accepts there has been something of a sense of relief around the squad now.
However, the Norwich manager is under "no illusions" of the challenge which awaits his team at Carrow Road on Monday night against Steve Bruce's established Premier League outfit.
"I am pretty sure last week will have heightened that belief, because it takes away everybody saying 'Norwich haven't won'," he said.
"The level of performances have been really high, and we have had games where we might have got more points than we have done.
"Now we have to try to keep the same level of performance that we have been showing of late."