Millwall's heads went down after the goal though, and the Iron could have easily doubled their advantage - first through a Billy Sharp header that cleared the crossbar and then an Andy Keogh strike in stoppage time that struck the inside of the post.
"They gave us a hard game and that's why it's a fantastic result," admitted Adkins.
"It was a smash-and-grab and they made it difficult for us.
"We tried to change it several times to get a foothold in the game, but we put our bodies on the line, worked hard for each other and came away with a fantastic win at a team who won't lose many at home.
"I thought Josh Lillis put in a great performance in goal and made some great saves.
"You can't underestimate this win. It's results like this that win you things. You never know how important this may be at the end of the season."
Millwall manager Donachie was frustrated that his side couldn't convert their chances.
"We need a goalscorer - although I don't think our strikers are lacking in confidence," said the Scot.
"We don't have players with enough desire to get in the six-yard box and into positions to hurt teams.