"Up to this point I think beating Australia in the World Cup in 2011 is our greatest victory because of the context of that match but if we could beat England at Twickenham that would provide the most incredible springboard going forward to the 2019 World Cup".
Woodward also said that England flyhalf George Ford was the "biggest worry of all" as he failed to make an impact for the second consecutive game, saying that the 24-year-old has been struggling to impose himself in big matches.
Until then, we've got a full week to slowly untangle our nerves in celebration for this weekend's victory.
These are all very valid points and it remains to be seen whether Jones is able to address them in time for the visit of Ireland to Twickenham on St Patrick's Day.
"We will be more focused on showing pride". With an terrible record away from home, the Scots' own championship bid was nearly inevitably squashed by an Irish side which owns the visitors in Dublin, where Scotland has won only once in 20 years.
He's determined he doesn't squander this rare shot at a Grand Slam. "It was a bit weird winning (the Championship) with a week left, but there's a hunger in this playing group, coaching group, everyone involved, that we want to go one more". They are an worldwide side picking their players from four provinces - in a country where rugby is the fourth-most popular field sport behind Gaelic, Hurling and Football.
"We know how tough it is over there, we know all the things that'll be coming into this game". The players have worked hard to get a medal for Josh, the players have worked hard to get a medal for Robbie (Henshaw) and for Chris (Farrell).
Jacob Stockdale bagged a brace to become the first Irishman to score six tries in a single campaign in Five and Six Nations history, as Ireland moved within one win of just a third-ever clean sweep.
Jones's team now await the visit of Grand Slam-chasing Ireland in the fifth and final round this weekend, knowing another loss would be a third in a single Six Nations for the first time since 2006, and invite serious questions over whether this is more than an explicable blip.
Jones, reportedly earning £750,000-a-year, reined back from criticising the Premiership, where tries are often easy to come by.
Scotland showed glimpses of the form that saw them beat England in the previous round of matches, with Blair Kinghorn's try keeping them just about in the hunt, but a lack of accuracy at crucial moments proved costly.
'They will be incredibly keen to make sure that they deny us what we denied them a year ago'.
"They probably think they are going to get loads of opportunities but as I know it doesn't work out like that. The shoe is on the other foot after past year and I'm sure they will be licking their lips". "We are a rugby team and no rugby team has an aura of invincibility about them".