Little suffered a setback in his recovery from a hamstring injury in the build-up to last Saturday's visit of Sheffield Wednesday but the right-back's fitness has improved this week.
Midfielder Swanson also missed the Owls match because of a knee problem.
His return would not necessarily be at the expense of teenager Shaquille McDonald, who was a surprise inclusion on the bench last weekend.
"Shaq was outstanding in training last week and he deserved his chance. I'd have no hesitation in picking him again," said Posh boss Darren Ferguson.
Peterborough, above Barnsley and outside the relegation zone courtesy of a better goal difference than the Tykes, will secure Championship football for a third successive season if they match the south Yorkshire club's result at Huddersfield and Wolves' result at Brighton.
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