The Tigers go into Saturday's home game against Huddersfield bottom of the pile after taking just three points from their first 10 matches, but Millward points out that the Wildcats were in a similar position at the same stage of the 2012 competition before going on to reach the play-offs after winning 11 of their next 17 fixtures.
"I went for a drink with (Wakefield coach) Richard Agar after our Good Friday game and he said after Easter last year they were two from 10," Millward said. "I've seen enough this year to know that, when we've got our full complement of players and we get things right, we can do well. I really believe that."
The Tigers were one of only two teams to fail to pick up a point over Easter but Millward insists morale remain high.
"It was a bad weekend for us," he said. "Friday knocked our confidence around a bit but I've got to say the spirit off the field is good.
"There are a couple of key areas we need to improve. We know what needs to be done. We need a bit of luck at the moment."
At least history is on the Tigers' side. They have won their last four home Super League meetings with Huddersfield, including a 52-4 hammering last season.
Giants coach Paul Anderson, whose side have the chance to return to the top of the table with leaders Wigan not playing until Sunday, is disregarding last season's shock result but expects Castleford to start climbing away from the foot of the table before long.
"We haven't lost there this season yet and I couldn't care less about what has happened in the past," he said. "We are Giants 2013 and we will turn up as if it is just another piece of grass with some stands, floodlights and some TV cameras as well.
"Cas have some good players on their books and at some point it is going to click for them. What they did over Easter was put all their eggs into the Friday game and rested a few people and now will put all their eggs into this game as well, so it is dangerous."