Left-back Baines had to be replaced by Ramiro Funes Mori at half-time during last week's 3-0 win over West Brom and was a doubt for the encounter with the Tigers before proving his fitness in training.
Midfielder James McCarthy is missing with a hamstring problem while Muhamed Besic is still working his way back to fitness after a long-term knee injury.
Striker Romelu Lukaku is expected to keep his place in the starting line-up despite admitting this week that he will not sign a new contract with Everton.
The Toffees have won their last five at Goodison Park, while they have only tasted defeat once on home soil this season ahead of facing a Hull team with just one away victory to their name this term.
Koeman is refusing to take the relegation-threatened Yorkshireman for granted though, warning his players not to become complacent.
“It’s not about what will come after this Saturday," said Koeman. "We are the big favourites at home, the pressure is on Everton but at home we are producing good performances. We need another this Saturday.
“If you are afraid to play at home that’s the worse thing you can have as a football player. It’s difficult to always keep that momentum, but we like to do it.”