Swift and Meite missed the midweek defeat to Brentford with hamstring and groin injuries respectively, and will be assessed on a weekly basis.
The Royals are once again without Felipe Araruna who remains on the sidelines with a knee injury.
Millwall's return to form against Sheffield Wednesday last weekend came at a price as they lost midfielder Ryan Leonard to suspected ankle ligament damage.
Leonard is now expected to be sidelined for up to two months in a major blow for Lions boss Gary Rowett.
Shaun Williams is set to step up to replace Leonard in the starting line-up having come on as substitute in the win over the Owls.
Winger Connor Mahoney is still expected to be sidelined after suffering a setback in his quest to overcome a quad injury.