The stand-in Hearts captain was dismissed nine minutes from the end of Saturday's 2-0 defeat to Premiership leaders Inverness Caledonian Thistle after referee John Beaton ruled he had deliberately handled a point-blank shot from Billy McKay inside the six-yard box.
Television pictures, however, have since proven that was not the case as the ball can be seen ricocheting off the side of Hamill's head and away from goal.
Locke refused to criticise the referee, who is expected to admit the error, leaving Thursday's fast-track tribunal with the simple task of upholding Hearts' challenge.
"You've got to appeal that," said Locke. "Television pictures clearly show the ball hit him on the face and you could see that by Jamie's reaction at the game as well. I think common sense will prevail and it will be rescinded and he'll be available for the Celtic game [on Saturday].
"We all make mistakes and I can accept what John [Beaton] had to say because he genuinely thought it had hit his hand. But as long as it gets rescinded then I don't have a problem."
With the appeal already appearing a straightforward one, Locke also feels referees should be able to overturn their decision without the need for a time-consuming process.
With clubs reimbursed the £500 fee when they win an appeal, Locke added: "You have to go through the proper channels but I think it would be a lot easier if the ref could just say 'I made a wee mistake there, it's not a red card' and we could move on.
"It's vital we have Jamie for the Celtic game. To have half a chance, we need everyone fit, healthy and available and we'll certainly have a better chance with Hamill in the team."
With six key members of his young squad on Scotland Under-21 duty on Thursday, Locke will be hoping his players return from the match against the Netherlands free of injury as he contemplates the visit of Neil Lennon's men.
"It's great for the boys and I just hope they go to Holland and get the result we all want," he said. "Will I panic while the game is on? I'll be panicking all week! Seriously, the boys have done well and merit the call-ups so I'm delighted for them all.
"I said to Billy Stark [U21 manager] that I hope they all get the win the country is craving [following the 6-0 friendly drubbing by England last month] and my players come back fit and healthy."
Locke was speaking as the Foundation of Hearts set the wheels in motion yesterday for what they are billing as the greatest supporter movement in Scottish football history. The fans group bidding to take over the administration-hit club have begun to withdraw monthly direct debits - from £10 to £500 - for the first time from 7500 supporters who have signed up to the scheme.
Should the Foundation successfully reach a Company Voluntary Arrangement with Hearts' creditors - collapsed Lithuanian companies Ukio Bankas and UBIG - they plan to use the cash as working capital.
Edinburgh business (BIDCO) have already stumped up money for a CVA offer in the region of £3m.
Ian Murray, the Foundation chairman, said: "On Monday, the start of a process to begin the greatest supporter movement in Scottish football history gets underway with the first UK direct debits drawn by the Foundation of Hearts. If you have signed up I simply say, 'thank you'. Because of you this adventure begins. Because of you, the amazing Hearts support, that the club survives today.
"The Foundation of Hearts is seeking to secure a future which we can all be proud of, every bit as amazing as our past. For that reason, if you have not already done so, I would urge that, if you can, you do sign up to make a monthly contribution via direct debit to the Foundation.
"The Foundation-backed bid sees Edinburgh business provide the up-front capital, through BIDCO, and then enter a binding contract with FANCO to sell the club, at no personal gain, in a controlled manner."