Harvey said the Kangaroos' past month, which has involved losses to the Western Bulldogs (22 points), the Sydney Swans (15 points), Hawthorn (nine points), and Sunday's draw with Richmond, had been devastating for the team.
He said the result against the Tigers cut the deepest, and made him think of how his younger teammates were dealing with the Roos' month of near misses.
"Some of our young guys haven't played in a win yet," he told afl.com.au, after Sunday's draw.
"It would be great to stand next to someone like Liam Anthony in the circle, put your arms around him and sing the song with him because he probably doesn't know the words yet.
"The last four weeks we've been in positions to win the game, and we haven't won one of them.
"You win two out of four and you sort of look at it and think, 'It's not too bad'.
"But, you win none out of the four and it's just shattering for our boys. We've tried so hard and we've won some pretty good footy; we just haven't won any games."
Harvey said he couldn't remember playing in a draw at AFL level, and described the post-match feeling as "weird".
"It's worse than losing. Four quarters to end in a draw – that's disappointing," he said.
"You don't sing the song and everyone is just sitting around shattered.
"The coach pointed out all the negatives to us and it's just a sick, old feeling."
Harvey said he only had eyes for David Hale when the siren rang, as he clasped the ball on the members' side wing and prepared to deliver it to the attacking arc for one more assault.
"I was just about to kick it into the forward 50, and hopefully 'Haley' could have taken a mark and kicked a point or a goal," he said.
"I knew it was close, about 10, 20 seconds to go.
"We were in front with one minute, 50 seconds to go and they kicked another goal, so that's something we'll have to look at as well."
Harvey said he knew his players would not give up after half time, despite the fact they trailed by 42 points and had been smashed in the contested ball.
"I spoke to the boys about self-belief, and I asked, 'Have we got it?', and they all said, 'Of course we have'," he said.
"We knew we could come out, and we're a pretty confident bunch of blokes.
"The second half is a positive we can take out of it, but the negative was we let them get a seven-goal head start.
"That's not good enough in today's footy. You can't do that against good teams because you don't come back."
He said he expected caretaker coach Darren Crocker to continue to experiment with playing his teammates in alternative roles across the final six rounds of the season.
"Today, 'Gibbo' [Josh Gibson' played in the midfield, [Michael] Firrito went down back again …I think Crock was just trying to see if blokes going forward have versatility," he said.
"I think the rest of our season is about looking at the guys and finding out more about them.
"But we want to get a win as well, don't worry about that."