Simpson has been out with a hamstring injury since the draw with Manchester United back in December but is fit again, according to the boss, and will feature whilst Huth has yet to play this season due to an ankle injury but could play some part at London Road.
Puel said: "Robert can perhaps participate with this game.
"We will see. I think he will come with the squad. Simpson is available also."
Fousseni Diabate is in line to make his senior bow for the club, following his arrival earlier in the transfer window, but Puel is expected to make changes to his side, although he says he will pick a strong starting XI.
He added: "Perhaps he will have some game time, we will see with other players also, but we will pick a team to win the game."