Nigel Pearson refused to get carried away despite watching his Leicester side stretch their lead at the Championship summit, while Barnsley boss Danny Wilson hailed the Foxes for their display.
Leicester are eight points clear of closest rivals Burnley and 15 ahead of third-placed Derby after Jamie Vardy's brace helped them brush aside the Tykes 3-0 at Oakwell.
They are now nigh-on certainties to earn promotion to the Barclays Premier League, but Pearson is refusing to rest on his laurels and will continue to push his side until the end of the season.
"We've a long way to go, we've put ourselves in a strong position and we're pleased with the win," he said. "We've worked hard to get to the top of the league and we want to try and do everything we can to stay there.
"We're not virtually there, we want to try and win every game that we play. We won't do it, of course, but that's what we've tried to do every time we've played and we'll try and have that same approach to games from here on in.
"I don't know what the total will be that's required to get automatic promotion, or to win the title, but we'll do everything we can to accrue as many points as we can and we'll see where it takes us."
Their third successive 3-0 victory - and their first at Oakwell since November 2010 - in no way flattered the visitors who dominated from start to finish, with Vardy the central figure in their success.
The in-form striker got on the scoresheet for the fourth game in a row after a cool finish following a burst of pace that took him past marker Jean-Yves Mvoto.
Vardy then supplied the cross which allowed Danny Drinkwater to volley home from close range just before the hour mark, and then latched onto Riyad Mahrez's ball forward before rounding the onrushing Steele and tap into an empty net in the 62nd minute.
"It was a comprehensive win," Pearson said.
"I think it could have been a better scoreline for us but I'm very pleased with how we played and the manner in which we were able to dominate the game, it was very positive for us."
Pearson was delighted with Vardy's showing, but was quick to pay tribute to an overall excellent performance from the entire team.
"He's the type of player that centre-backs certainly don't like playing against because I don't think you ever feel like you've got time on the ball," Pearson added.
"He's played his part in a very good team performance for us. Strikers who score goals quite often do get the limelight but he's playing with confidence, I'm really pleased with his contributions to the side's success so far."
Barnsley boss Danny Wilson is relieved his side do not have to play Leicester again this season, saying: "Thank f*** for that."
The 54-year-old was magnanimous in defeat, admitting the Tykes had been thoroughly outclassed before backing Leicester to achieve promotion.
"By far they are the best team in this division by a country mile, in my opinion," he said.
"They're class, they're a good team to watch and I'm slightly jealous in one respect because they've got some quality players there.
"It's coming together for them now. They're a Premiership team in the waiting; it's only a matter of time."
Barnsley had come into Tuesday night's game on the back of a 1-0 home win over promotion hopefuls Nottingham Forest, but found the Foxes a much tougher prospect and they remain two points adrift of safety.
However, Wilson remained upbeat, adding: "The last two games, I don't think anybody was giving us a cat in hell's chance of getting anything. We've ended up with three points."