Burnley boss Sean Dyche stressed the need for his side to build on the achievement after they finally recorded their first victory of the season by beating Hull 1-0 at home.
Ashley Barnes notched the winner with a 50th-minute header in what was the 11th game of the Clarets' comeback Barclays Premier League campaign.
Dyche's men, who had been the only team in the top four divisions of English football still without a win to their name in 2014-15 before kick-off, remain bottom of the table but the gap between them and safety stood at only two points at the final whistle.
The manager's delight at having seen his side secure maximum points at last was clear in his post-match press conference.
But Dyche was also keen to emphasise: "At the end of the day, it is not about one win.
"It's great - I'll enjoy it, don't get me wrong. But there is more than one needed. We know that the journey takes a lot more than one win."
Dyche had no doubt the single win in itself would provide a significant mental boost for the club.
He said: "It is important to get that first win, of course - psychologically for the players, for their belief, and for the town's belief that we can at least compete and give everything in this division to make what everyone is saying is the impossible possible. That is our job."
He added: "The players didn't go overboard about it.
"Our internal view is different to the outside view. We have been frustrated by games and felt we deserved wins already, and haven't got them.
"We have a great honesty here and a great positive reality with the group. They get the situation.
"Someone said to me last week about being 'cock-a-hoop' - the players are not cock-a-hoop. But they are very pleased their work has got them a reward, which is their first win."
Asked if he felt this result had been deserved, Dyche said: "Yes, I think so.
"In the first half I thought we were excellent, but you go in at half-time and think 'is it going to be one of those games again?'
"I mentioned that to the lads - weirdly, I actually gave them a bit at half-time, because I said this was not a situation where it was going to be 'good old Burnley' again.
"We know that doing all right or well is not good enough - you need to do even better. So I was pleased with the way they came out in the second half, and we got the goal.
"A marker has been laid down. We have our first win and everyone feels better about themselves. So for sure, we are very happy."
Hull manager Steve Bruce, meanwhile, said he had been left "embarrassed" by his side's display and apologised to the club's fans.
Bruce - whose decision to make three substitutions early in the second half backfired, with Curtis Davies subsequently having to come off injured and Hull being left with 10 men - said: "It is very rare in the two and a half years I have been at the club that I can be embarrassed and say sorry to supporters, who have travelled on an awful afternoon in their thousands.
"I can look at myself in making three substitutions before 60 minutes - it was obviously a gamble.
"But I have to tell you, we were probably better with 10 men than we were with 11, and that is a sad indictment of the first hour, where we were just nowhere near the level which has seen us stay up in the Premier League last season and have a decent start to this season.
"That performance has just eroded all we have done, because it was simply not good enough.
"We have tried to guard against it - we knew we didn't want to be the first ones (to be beaten by Burnley).
"But to be fair, we have gifted Burnley their first win.
"We haven't kicked a ball in the first half. We have kicked it out, we have shanked it, we've miscontrolled it and haven't had any real urgency about us to get a shot on target, a cross on their goal.
"It is a pale shadow of the team I saw two weeks ago (draw 0-0 at Liverpool).
"We'll have a good look at it. The sad thing for me now is they are all going away on international duty."