England's latest victory, which is their second-highest ODI run chase in history, came two days after the team set a new world record of 481 runs in a single innings at Trent Bridge.
"If it does become the 'normal', that would be awesome - because it creates an unbelievable tone at the top of the order," Morgan told Sky Sports News.
"I think the form the guys are in is phenomenal. I think we've found a new gear, or a new level of intensity.
"I'm glad we're spoiled for guys in form at the moment, because I've been in teams where [those] next in or fighting for places can't get a run. This is a very privileged position to be in."
England could complete a first-ever ODI whitewash of Australia with victory at Old Trafford on Sunday.