The Tigers face the prospect of losing their midfield talisman for the next three Premier League games - against West Ham, Middlesbrough and Manchester City - after Huddlestone's red card at Goodison Park on Saturday.
He was shown a straight red card for his challenge on Everton's Idrissa Gueye in the 73rd minute, a decision that led to the Tigers suffering their heaviest defeat of Marco Silva's reign.
City do have the option of challenging referee Paul Tierney's verdict and were given encouragement by Everton boss Ronald Koeman, who thought the tackle was only worthy of a yellow card.
But Silva, speaking immediately after Saturday's defeat, said he would need to analyse video replays before coming to a decision.
"It was not for Tom because this was a decisive moment for us," said Silva.
There is also the worry that the FA could add another match on to the player's ban if they deem any appeal as frivolous.