Curry, the Warriors' star point guard, enters Monday's contest against the Philadelphia 76ers averaging 6.3 turnovers per game -- the highest mark in the NBA.
Although he has emerged as Golden State's best player and one of the top young guards in the league, Curry has been committing turnovers at an "unacceptable" level, according to Jackson.
"He understands that he has to be better," Jackson said, according to CSNBayArea.com. "He understands that if we are going to achieve our vision, he's got to take care of the basketball."
Curry, 25, has averaged 23.3 points and 9.0 assists -- both team highs -- through the Warriors' first three games.
"That's unacceptable to me as his coach," Jackson said, according to CSNBayArea.com. "But more importantly, he knows it. So there is no sense in me beating him upside the head."
Jackson, who dished out the third-most assists in NBA history during his 17-year playing career, told CSNBayArea.com that he has not considered benching Curry.
"What will not happen is [me] taking him out," Jackson told the website.
Curry, who is in his fifth NBA season, has averaged 3.0 turnovers per game over his career.
The 6-foot-3 Curry told the website that he has been attempting to cut down on turnovers and acknowledged that he needs to "play smarter."
"[I'm] just trying to do too much, thread the needle," he said. "I've been studying film, trying to get better, and I'll continue to do that.
"I've got to play smarter. Sometimes, getting a shot up is better than trying to thread a needle when it's not necessary."