Ireland are going for a Grand Slam and Laidlaw, who will win his 61st cap, admitted that this match was the biggest test his team could face when playing the northern hemisphere sides.
England have previously struggled to lose under Jones; failing to lose any more than single one game.
Schmidt said the focus was now on the grand slam.
France, who narrowly lost their first two matches against Ireland and Scotland, defended furiously throughout and it became obvious that England, who needed a bonus-point win to keep their title hopes alive, would not score the four tries they needed.
The 25-13 defeat in the Calcutta Cup was worrying enough, but it was compounded on Saturday evening with a further 22-16 slip-up at the Stade de France.
"Last year we got caught cold". That was the difference and the breakdown again caused us trouble.
"We knew that the physical challenge would be key".
Jones will make changes for the meeting with the champions at Twickenham.
A former hooker, Dal Maso played 33 times for France starting his worldwide career in that same late 1980s period. If we are serious about challenging for the title then we need to win this game and clearly Ireland are unbeaten.
Halfback Conor Murray wriggled over early in the second half to widen Ireland's advantage but it was replacement Sean Cronin's try in the 68th minute that drew the biggest cheers as it secured the bonus point.
Three years ago Super Saturday presented unrivalled drama with England, Ireland and Wales in the title mix - and it all came down to points difference. 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).
Canada will host Scotland on June 9 in an global rugby test match at Edmonton's Commonwealth Stadium.
Kiwi boss Schmidt talks frequently about keeping his players in a "bubble" in a Test match build-up, but Ulster hooker Best admitted that can not extend to players failing to think on their feet. From the resulting scrum, Ringrose doubled round Bundee Aki, and Stockdale stepped opposite Kinghorn to score his second try of the match, and a leading sixth in the championship. At 21-3, Ireland was cruising.
Scotland are actually happy that the ref is Wayne Barnes, who they think will want a contest at the breakdown.
Why downplay it? The Six Nations is the biggest annual tournament in the world, and England needed to produce a special performance to stay in it. That was Scotland's last gift. Devin Toner, Peter O'Mahony, and the front row were replaced. We've been humbled and we've had to learn a lot.
"Their 9 and 10 are the two best players on their team and for us to be successful we have to put them under pressure".
Sexton converted, and Irish fans started singing.
The New Zealander noted: "There are plenty of knocks but no injuries, one of the good things is we made a few tactical subs but none of them were really injury induced. We have to make sure we get that balance right", Farrell said.