Neville finished up early in the 2-1 win at Newcastle United on March 5 because of a hamstring strain whilst Cahill has missed the last two outings with foot trouble.
But Toffees boss David Moyes was giving the pair every chance of being available for the visit of the Cottagers.
“I would say Phil Neville and Tim Cahill have got a good chance of being available. Otherwise we have nothing new to worry about,” he told the club’s official website.
As for strike options, Moyes may be without regular substitute Victor Anichebe who is struggling with shin splints.
“Victor has had problems with shin splints. Some days he is okay and some days he is not,” Moyes added.