Sunderland players Chemsdine Talbi and Noah Sadiki are determined to push for a European place in the Premier League, but Black Cats boss Regis Le Bris did not want to get ahead of himself.
Sunderland moved up to eighth in the Premier League with a 3-0 win over Burnley at the Stadium of Light.
Talbi capped off the win with a stunning curler in the second half after an own goal from Axel Tuanzebe and a strike from Habib Diarra.
Sunderland remain unbeaten at the Stadium of Light in the Premier League this season (P12 W7 D5), making it the longest home unbeaten start to a top-flight campaign by a newly promoted side since Nottingham Forest went the entire 1977-78 campaign without defeat on home soil (P21 W15 D6).
The Black Cats are also one of just seven sides that remain unbeaten at home across the top five European leagues this season, along with Atletico Madrid, Napoli, Juventus, Barcelona, Borussia Dortmund and Paris Saint-Germain.
With Sunderland now just five points off the top four, Talbi is eyeing a potential European push this season.
"We did a great job today. A lot of passes, a lot of quality on the ball. And today we finished the action well, Talbi told Sky Sports.
"Really pleased with that and we need to continue like this.
"We want to reach the top. If we can reach top five, top six we can go through. There's a lot of matches coming but very much focus on the next match."
And Sadiki added: "It's never enough (to stay up), we want more. We want to reach the top. If we can get top six or top five.
"There are a lot of matches coming so we have to focus on the next game."
However, Le Bris remained focused on securing their Premier League status first.
He told BBC Match of the Day: "For me, the target remains the same. The first target is around 40 points, maybe more.
"The league is tough. For us, go to 40 and see if we can get more."
Burnley, meanwhile, have kept just one clean sheet in their last 38 away Premier League games, conceding at least once in each of their last 22 top-flight matches on the road.
They are 19th, 11 points from safety, and defender Kyle Walker did not mince his words after their defeat on Monday.
He told Sky Sports: "Terrible. We've come here to get something from the game and got nothing, so as a club that's fighting for survival it's not acceptable.
"It's 22 men on a football pitch, it's about who wants it more and they wanted it more than us.
"When certain situations arise in a game, you're meant to deal with them in a manner that's appropriate for that situation, we don't, for whatever reason, seem to do that."