Jones claims that the 2003 World Cup winners' half-backs are a major weakness as they bid to reclaim the William Webb Ellis Trophy.
"I don't think Ben Youngs is a test half-back. He is good on go-forward but when the ball gets slow he struggles to make decisions and I think Toby Flood is the same, which is a big weakness," Jones told BBC Radio 5 Live.
"That combination means I don't think they can win the World Cup."
England begin their World Cup preparations with a warm-up match against Wales at Twickenham on Saturday, August 6, ahead of their first World Cup Pool B match with Argentina on Saturday, September 10.