Morrison has coached a number of the Bulls players in the past, while a number of Rams players hail from Bradford.
“I think this game will have a real Challenge Cup feel about it,” he said.
“We used to have a dual-registration partnership with them, so I’ve coached a few of their players and a few of my players have come from Bradford so there are quite a lot of links between the two clubs.
“It should be a good one and a real Challenge Cup battle.”
“We had five people pull out the night before the game,” he said.
“To travel down to London and play against a quality side with youngsters and people out of position and lose by four points was pleasing but it’s disappointing because the game was there for us to win.
“We just weren’t smart enough to get the job done – similar to the week before.”
Bradford assistant coach Chev Walker said the Bulls will be under pressure.
“The Challenge Cup is a great competition,” he said.
“It’s a one-off game and anyone could win on the day, so that puts us under a little bit of pressure. But it is a different kind of pressure.
“It will be good for us not to have the pressure of getting two points, obviously we dropped a point last week and this week is about progressing in the Cup. We’ll be up for the game and ready to go.
“Dewsbury are a mirror image of Glenn. They are hard-working, well-drilled and well-disciplined. We’re going to have to be just as workmanlike as them.
“We will have to play with a lot of enthusiasm and look to break them down slowly.”