Just 48 hours on from their important home victory over Millwall, Parkinson's men will take on Crewe at the Alexandra Stadium looking to make it maximum points from the Easter weekend double-header.
The quick turnaround will give Parkinson and his squad a test but the City chief believes his players are up to the challenge.
Parkinson said: "We know that this league remains tight.
"Teams below us are more than capable of putting a run together, teams above us could also lose a few as well.
"We will just be focusing on our preparations for the Crewe fixture.
"The preparations started straightaway after Saturday's game. Nick (Allamby, Head of Sports Performance) was in the dressing room after the match making sure the lads prepared properly.
"We've had the group in Sunday morning as well.
"As with any squad at this time of year, we have a few knocks and niggles but it is all about showing that mental toughness to keep going.
"We pride ourselves on our fitness. I know we have a fit team, plus we have the ability to change things around a bit should we need to.
"Our job now is to decide how to freshen the side up (for Monday)."
Ahead of City's win over Millwall on the Saturday, Parkinson and assistant Steve Parkin were in the crowd at Bramall Lane on Good Friday to see Crewe lose a thrilling encounter 3-2 with Sheffield United.
Crewe found themselves two goals down early in the second period but crawled their way back level, only for Billy Sharp to snatch all three points for the Blades with an 87th minute winner.
The result, coupled with Colchester United's win at home to Doncaster Rovers on the same afternoon, sent Crewe bottom of the table.
Parkinson added: "Crewe had a very tough game at Sheffield United on Friday - it went right to the wire. They were disappointing in the first half but excellent in the second half after making a switch in shape.
"They will be fighting for their lives at the bottom but we must look to take advantage of any negativity or any lack of confidence that might be around their place.
"The only way we can do that is by playing like the home team.
"Looking at the second half at Bramall Lane though, Crewe really should have won the game, they were unlucky not to do so. We will have to be really committed in what we set out to do."
With only eight games of the regular league season to go now, Parkinson knows crowd support is going to play its part in the run-in. The City chief is hopeful that another plentiful City following can make its way to the Alexandra Stadium to give his side that extra boost.
Parkinson added: "I know Easter is a busy period for our supporters with family commitments but I'd like to try and appeal to as many of them as possible to come across to Crewe on Monday.
"This game comes quickly upon us. I know the lads are ready physically for the game but having a thousand or so Bradford fans there supporting us in the ground would be an enormous help.
"If you can, please get over to the game and really get behind the lads.
"Saturday was a big game but this Crewe match is equally as important. The good teams keep going, they don't sit back and think they have cracked it. We have to go to Crewe and be right on the money."