Jermain Defoe and Michael Dawson had words of encouragement for Huddlestone after the howler.
"Tom's a great player and it's not as easy as it looks," Defoe told the Spurs website. "You have to forget about the miss and move on to the next game. It's one of those things.
"It's not easy for the player who has missed and you'll always think ‘what if' but the bottom line is that we're still in the FA Cup. That's what matters.
"And when you look at the teams who have gone out of the competition there has to be a chance there for us. It would be great to go all the way."
Dawson added: "As I've always said, good or bad, we win together and lose together and the fact we didn't win at Bolton wasn't just down to Tom missing a penalty.
"He will probably feel like that but it was the same when we played Leeds at home, we had plenty of chances to win the game before I gave away that penalty. That doesn't make it any easier when you feel deep down that you've cost your team.
"Tom's an unbelievable player and I'm sure he won't let it affect him too much. I'm sure he's had a couple of sleepless nights, just like I did after Leeds, but he's a top-class player and he will bounce back."