United dropped to 24th after the 1-0 defeat, but Adkins is still upbeat that the players will turn things around.
"We will stay up. The luck will come for us, and the only way it will is through working hard. We need to keep the belief. Words are cheap but we need to work as hard as we can," he said.
"The result is disappointing, as is the manner of it. The initial reaction (for the goal) was offside, but well done to the linesman, it was a great decision.
"If we'd have had a little bit more quality and a little bit more composure then we might have had a little bit more. It was at least a nil-nil performance from us.
"The effort and commitment was excellent. Jim Goodwin and Jack Cork were immense in the centre of midfield.
"But, with the anxiety that will come from our league position, then people are going to rush things and not show composure. But that will come.
"All in all, it was disappointing but you can't fault the players. But at the end of the day we didn't get the result. We're bottom now, but what a fantastic achievement it will be when we stay up."
Robins manager Gary Johnson had billed the game as 'grudge match' beforehand, but wished the Iron well in their battle against the drop.
"We knew it was a grudge match, but that's only because we have played them so many times," he insisted.
"There's a respect there and I just had a chat with (Iron boss) Nigel (Adkins) and wished him all the best and told him I hope they get out of trouble.
"We knew that we had to put in a good and solid away performance today. We frustrated the Scunthorpe crowd a bit, they didn't create a lot of chances and we got on the ball better in the second-half."