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The 2019 World Cup finalist finished fifth in this year's Six Nations tournament, losing all three games against Scotland, Wales and Ireland for the first time since 1976.
A spirited victory over France had restored some credibility to the side after a shock 11-6 home defeat to Scotland and a resounding 40-24 loss in Cardiff, but its campaign concluded last weekend with a 32-18 reverse in Dublin.
England conceded 121 points in their five games, more than in any previous Five or Six Nations championship, leaving Jones' position as head coach under serious scrutiny.
Bill Sweeney, CEO of the Rugby Football Union (RFU), accepted there was huge disappointment around their performance and that tough questions must be asked as they attempt to build a squad capable of winning the World Cup in two years' time.
However, he insisted on Tuesday that any possible changes to the team will be given great consideration.
Asked to summarise England's Six Nations campaign, Sweeney replied: "How long have you got?
"It's a tough question. We're all incredibly disappointed. England don't go into a Six Nations to come fifth, which is why we'll have a thorough debrief.
"We had a debrief scheduled for May and we'll probably bring it forward to April. It needs to be a thorough, brutally honest analysis of what went wrong and why.
"Since Japan, our focus is on going and winning a World Cup in France.
"You'd expect us to do an absolute and full debrief. You have to recognise and respect Eddie's achievements since he's been here: three Six Nations championships, a grand slam, a World Cup final - that's a tremendous performance.
"But he wants to understand this as much as anybody and we want to let him talk to us about what happened in the Six Nations and are we on track to where we want to get to in 2023.
"It's really important at this stage to apply good old English calm. We have to react, we won't do nothing, but it's important not to overreact. We won't leave any stone unturned in trying to understand it.
"It's a young squad, it was the youngest ever team in a World Cup final, and yet we're in a period of transition. It's unusual. When you're in transition, you want to make sure you're heading in the right direction.
"I don't think I can honestly answer [if he will be sacked]. He's as disappointed as we are, and we'll do this debriefing session together."