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Highlights: Celtic 2-0 Dundee Utd

Brendan Rodgers said Celtic's "brilliant" support "pushed us over the line" in response to his call for patience as a hard-fought victory over Dundee United sent the Scottish Premiership leaders 16 points clear.

The Celtic manager had been irked by the reaction to backward passes during Sunday's 3-0 win over St Mirren, but was full of praise for the fans after Daizen Maeda and a late Reo Hatate strike downed a United side who ran the hosts close.

"The crowd were brilliant because it can get a bit edgy and we are a support, bless us, that we fret a wee bit and we worry a wee bit," Rodgers said.

"But that support was so important. It was fantastic. Such a cold night to come out and see the team but the numbers turned up, gave the team great support and that pushed us over the line."

Rodgers had also suggested supporters who chanted about transfer target and former Celtic player Kieran Tierney last weekend were being disrespectful to current left-back Greg Taylor.

The fans responded against United by singing about several former players including Odsonne Edouard, Henrik Larsson, Victor Wanyama and Jimmy Johnstone.

"It was just the kitman, he was the only one that missed out, I think," Rodgers added.

"It's all part of the dance here, isn't it? Listen, my job is to put the best team on the pitch and win and win consistently and everyone can smile."

Celtic initially seemed set to cruise to victory, but third-place United grew in confidence and looked capable of snatching a point.

Auston Trusty clipped the bar with a header from Arne Engels' corner, before the breakthrough came when Richard Odada's pass put team-mate Vicko Sevelj under pressure on the edge of his box, Luke McCowan nipped in and Jack Walton could only parry the ball straight out to the gleeful Maeda to slam home.

United re-emerged after the break in far more adventurous mood. Celtic substitute Kyogo Furuhashi went close with a header before Glenn Middleton produced a near-post save from Kasper Schmeichel at the other end.

As the clock ticked on, substitute Sam Dalby was a yard from connecting with a flick-on just in front of goal and was denied by Schmeichel late on from close range.

The win was eventually sealed when substitute Paulo Bernardo intelligently dummied to allow Hatate to finish off a lovely move.

Celtic take long route but get desired outcome

This was as one way as it gets, for the first half. Not so in the second period.

Right from the off Celtic took a firm grip of the ball and camped in United's half looking for any gap to exploit.

They enjoyed 84% possession in the opening 45 minutes, pinning their opponents in, and ultimately deserved this win.

The only frustration will be a failure to threaten Walton nearly enough given their initial dominance.

The late call-off from Nicolas Kuhn - who was injured in the warm-up - may have made a difference to the scoreline or, at least, direct chances as his replacement Hyun-jun Yang hasn't managed anywhere near the same impact.

That may be an area Rodgers will look to strengthen in this window.

United resolute in defeat

United rang the changes with top scorer Dalby on the bench and that seemed the result of players feeling the effects of a challenging schedule.

They knew they would concede a lot of possession, but struggled to hold the ball at all in the first half.

The opener was crucial but a failure to clear lines when given the opportunity opened the door and from there it was always uphill.

They did, however, retain a strong structure and limit clear chances to keep themselves in the game longer than the initial flow suggested. The visitors defended very well outside the goals.

Despite defeat to Hearts prior to this fixture, it has been a really impressive return to the Premiership. United showed here why they are third in the table despite coming up short.

What they said

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Celtic 'giving everything' in demanding schedule - Rodgers

Celtic manager Brendan Rodgers: "I can't fault the players, they're giving everything in what is a really demanding schedule.

"When you're the team having to take the game to the opponent, it takes a big effort and I think the effort was there from the players. Once we weathered the storm we finished the game really well."

Dundee United manager Jim Goodwin: "The players definitely weren't at 100% in terms of energy levels so the gameplan had to be about conserving energy.

"The players kept going that was the really pleasing aspect, they didn't throw the towel in. We had one or two opportunities to put the ball into dangerous areas but none of those opportunities fell kindly to us in the box."

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Goodwin 'disappointed' with United at opening goal