"It's not an issue, and it's certainly not an issue with Mike," Scioscia said.
Yahoo! Sports is reporting that the Angels and Trout are discussing a six-year contract worth approximately $150 million.
Scioscia said he hasn't seen a contract become a problem in his time with the Angels.
"We haven't had anybody here in 15 years because of a contract situation that hasn't come out and given 100 percent," Scioscia told reporters.
Trout said last week he's not interested in discussing contract negotiations with the media.
"I know what you guys are going to ask," Trout said before the first question had been posed. "I'm here to get ready for the season. I don't want to comment on the contract negotiations and stuff. I'm here to just get ready to prepare myself for the upcoming season."
Scioscia said his training camps are "high energy" and designed to keep players focused. He added that distractions can come in many forms and said Trout has handled distractions easily through two seasons with the Angels.
"We know how tough it is not only getting to the big leagues but making it in the big leagues," Scioscia said. "The footprint that he's made was pretty big in his first full year. To keep filling that footprint and to grow is a challenge, and Mike has shown no drop with what he did last year."
Trout came up a month into the 2012 season and took home the American League Rookie of the Year Award after hitting .326 with 30 homers and 83 RBIs. He followed that with 27 homers, 97 RBIs and a .323 batting average in 2013. He was the runner-up for AL Most Valuable Player both seasons.
"There's no doubt that there are potential distractions there with what's happening," Scioscia said. "He hasn't flinched. He's very grounded. He has everything sorted out on his priorities. He just wants to play baseball, and he's doing a great job of it.
"This kid doesn't even seem to mind [the limelight]. I think with Mike, if nobody was paying attention to him, he'd be fine with that. Everybody is paying attention to him, and he's fine with it. He's extremely focused."
The Associated Press contributed to this report.