They trail Scotland by just two points going into the final round of Pool B games.
Japan will next be looking to beat USA to keep pressure on pool leaders South Africa and Scotland.
"We play against the USA; let's hope Scotland do the right thing to Samoa next week," said Jones.
"We don't control those things. We always said we came to this tournament with two targets. One, to be the team of the tournament and, secondly, to make the quarter-finals."
Jones, who steps down after the campaign to take over South African Super Rugby franchise the Stormers, said their exploits had made a phenomenal impact back home.
"If you look at the history of Japanese rugby, we have won one World Cup game in 24 years," said Jones, who is of Japanese heritage.
"We have just doubled that. We have changed the history of rugby in Japan.
"Twenty million people watched the game against Scotland. They even opened the ground for the fans to watch back home.
"Five years ago, there would be 4000 people in there and now they are opening the stadium when we are not even there. That's a pretty considerable change."
Jones, who guided the Australian team beaten by England in the 2003 World Cup final in Sydney and was an adviser to the Springboks when they won the 2007 World Cup, praised his forwards coach, former England captain Steve Borthwick.
"Our forwards were fantastic. We shut Samoa out of the game with some set-piece dominance and our work in defence around the ruck was first class," said Jones.
"England need to call him into their ranks. His attention to detail is incredible. He has got the guys to believe that height is not a major factor in lineouts.
"Our tallest lock is 6 feet 4 inches [1.93m]. We are a very small team but we beat teams with our speed and movement, and Borthwick has been a driving force in that." AAP
