In their place - with the series already won - there are call-ups for paceman Stuart Meaker and spinner James Tredwell.
England clinched the series by taking an unassailable 2-0 lead with an eight-wicket win at The Oval. The final fixture on Friday therefore presents an opportunity for Surrey's Meaker, Kent off-spinner Tredwell - in as a like-for-like replacement for Swann - and Warwickhsire's Chris Woakes.
Woakes was already in England's squad as cover for Jade Dernbach, after the latter was offered the option of compassionate leave for the remainder of the series following his friend and Surrey team-mate Tom Maynard's death on Monday.
Dernbach is to remain available for selection, however.
National selector Geoff Miller said: "The fact that we have already won the NatWest Series means we are able to take the opportunity to rest three players ahead of next week's series against Australia and take a closer look at players who are likely to feature in our limited-overs planning going forward."
It is the second time England have opted to make voluntary changes this summer, with much debate over their decision to stand down James Anderson, and later Broad, from the final Test against the Windies.
But team director Andy Flower was quick to offer a lengthy defence of that decision, indicating that with the schedule as packed as it is such rotation would be a necessary part of England's future across the formats.
With a one-day series against Australia as well as a trio of series against South Africa in the second part of the season, England are keen to ease the workload on players who play Test, ODI and Twenty20 cricket - as Anderson, Broad, Swann and Bresnan all do.
Kevin Pietersen retired earlier this month after deciding he could not continue to play in every format and was not appeased by England's plans to include him in their rotation policy.