Tuesday's rearranged fixture with the table-topping Brewers is an extra match for City over fifth and sixth-placed Millwall and Barnsley respectively after the postponement of the original City-Burton match on Boxing Day.
Following the goalless draw at Bury on Saturday, Parkinson's men know that victory over Burton will send City level with Barnsley in the final Play-Off spot in the Sky Bet League 1 table.
With high-flying Burton hoping to use the match to further cement their spot at the top of the division though, Parkinson knows that a team effort on and off the pitch will be needed when Nigel Clough's title-chasers come to Valley Parade.
Parkinson said: "The point at Bury on Saturday has set us up for this (vs Burton Albion) game.
"The result on Saturday was a good one when you look at the league, we now have an opportunity to really use the game in hand.
"We will need the fans right behind us on Tuesday night.
"If you read the quotes from their (Burton's) win at Sheffield United last Tuesday, they tried to frustrate and quieten the home crowd.
"Burton will have had a scout at our Colchester United game and I'm sure they'll be trying to do the same again tomorrow night.
"Our fans have been magnificent, however, in terms of the way they have stuck behind the team throughout my time here.
"It is so important tomorrow (Tuesday) night that our fans continue to stay right behind the lads even if there is a misplaced pass or the odd mistake.
"We have to make it a difficult place for Burton to play their football.
"For the most part, teams find it extremely hard to play their football coming to Valley Parade when the atmosphere is right up there and the team and the crowd are right on it.
"We have to maintain that on and off the pitch. Obviously there can be that tension when we get to this business end of the season but everyone has to play their part once again.
"From our point of view, we know we have to put in committed performance against Burton. If we do that, the fans will be right behind us and become that 'twelfth man.'
"Ultimately, we are playing the side top of the league and it is going to need a team effort on Tuesday night.
"People may have underestimated Burton at times this season but we will be putting demands on our players to play at their very best come tomorrow evening because that is what is going to be required.
"Burton's work ethic has shone out for them this season but we are more than capable of matching that tomorrow."