"We're going to have to work really hard to get ourselves right for the game. And we will."
England led 30-7 at half-time and Jones urged his side - yet to face world champions New Zealand in his tenure - not to let up on woeful Scotland.
He added: "(The half-time message was) that we were ruthless and behaved like the number one team in the world. The number one team in the world goes on and finishes that off.
"We're not beating our chests and saying we're the number one team in the world, but we aspire to be the number one team in the world.
"We're one year into a four-year project. We've done reasonably well in the first year.
"We want to be the number one team in the world but we're not, so we have got to get better."
Jones has noticed a change in his players' attitude.
He said: "The attitude hasn't been bad, but there's been an attitude shift to embrace what's ahead of us and to lift to the next level."
Recalled Bath centre Joseph scored twice before Anthony Watson - on after Elliot Daly sustained concussion in the second minute - touched down. Replacements Billy Vunipola and Danny Care (twice) also crossed the whitewash.
Scotland responded with scores from Gordon Reid and two from Huw Jones, but were out of the contest in the opening exchanges after England scored 10 unanswered points while hooker Fraser Brown was in the sin-bin for a second-minute tip-tackle on Daly.
England boss Jones added: "We executed some lovely plays. Some of the space created for JJ (Joseph) was absolutely outstanding and it was the work of George Ford and Owen Farrell on the inside."
Farrell had been a fitness doubt in the lead-up but was near flawless while playing with strapping on his left thigh.
"Sometimes when you get those little injuries it helps you focus your game more. In a strange sort of way it helped Owen today," Jones added.
The Australian insisted Joseph had been omitted to look at other options against Italy and that the depth of his squad is increasing.
He added: "To be the number one team in the world we need that depth to be very, very solid. That's what we're moving towards."
Daly briefly returned to the field before going off permanently.
Jones said: "(Daly) had the test, passed the test, then we took him off.
"He's got a bit of blurred vision, but he should be all right."
Scotland head coach Vern Cotter was blunt in his assessment of his penultimate game in charge.
The Kiwi will join Montepellier after next week's clash with Italy, with Glasgow boss Gregor Townsend succeeding him.
"Everybody was aware that it was going to be a big match," Cotter said.
"It just got away from us quite quickly. We're frustrated with the way the game unfolded.
"We always say you win together and you lose together, so we'll take this on the chin."
Scotland captain John Barclay added: "We didn't play well. Credit to England. They played well, they executed plays under pressure - maybe not under enough pressure.
"It wasn't through lack of trying, just too much error. It certainly wasn't a good day."
Cotter was assessing the wounded ahead of the Italy contest at Murrayfield.
Stuart Hogg, Tommy Seymour and Ryan Wilson went off with head injuries and Mark Bennett suffered a leg problem.