The Brazilian has fallen below John Terry and Gary Cahill in the defensive pecking order at Stamford Bridge, but his national boss is not panicking ahead of the World Cup
Luiz was linked with a summer exit from Stamford Bridge following Jose Mourinho's return, and has found himself below John Terry and Gary Cahill in the central defensive pecking order.
There have also been reports that senior Blues players were disappointed with his attitude during the defeat to Newcastle earlier this month, but Scolari is in no mood to panic ahead of the World Cup next summer.
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"He won't leave a player like that on the bench all the time. If the worst comes to worst, David will arrive fresh and rested for the World Cup."
Scolari also revealed his disappointment at the way his own exit from Stamford Bridge unfolded in February 2009, with a decline in results and rumours of player unrest.
"I was upset by the way my departure from Chelsea happened," he added. "I was being honest with the club in everything I did. We were doing reasonably well on the pitch.
"I wish my work at Chelsea could have lasted longer, especially because I was prepared to spend at least two or three seasons in London and experience the Premier League and Champions League football.
"A few players did not agree with the decisions I had to make for the good of the team. I heard them complaining and saying: 'I don't play in this or that position.'
"Never mind the fact that one of the players I had put into the first team was actually one of the league top scorers at that point."
But despite the acrimonious nature of his exit, Scolari insists he would be open to a return to west London one day if the opportunity ever arose.
"If I had to return, I would do it," he continued.
"Chelsea are an spectacular club and I still want them to do well. The supporters are amazing and even though things didn't work out I still remember how nice the fans were to me."