The defender has been out for five games since fracturing his toe in the 3-3 derby draw against Liverpool last month.
"Leighton Baines is getting really close and I think it's fair to say that, depending how today and tomorrow go, he should be available," Everton manager Roberto Martinez told a news conference on Monday.
"We have missed Leighton because you can't underestimate his quality, experience and know-how."
Martinez praised Costa Rican left back Bryan Oviedo for his performances as stand-in.
"He has been terrific," said the manager, "but you want good players in good moments of form to be available".
Fourth-placed Everton, who have lost only one league game all season, were unbeaten in the five matches Baines missed.