The Blades, who went 13 matches without a win prior to their home success over Nottingham Forest two weeks ago, recorded back-to-back home victories for the first time this season thanks to an Eric Lichaj own goal and a Bjorn Helge Riise strike.
The result will not be enough to lift them out of the drop zone going into the international break, but Adams feels they can look forward to their survival bid with renewed positivity - especially as they have four home games left to come.
"We were terrific and I thought there was a commitment there that was all to see," he said. "We stifled Leeds, their three-man midfield in particular.
"We were better than them all around the pitch. We limited them to a few chances and, maybe in my tenure here, teams have taken the chances they have had against us. We've now beaten Nottingham Forest and Leeds here, and we've shown what we are capable of doing.
"I told the players that everyone had written them off before the game. But we're not finished yet. We've got four home games left which are key to it and this performance has given us a chance."
Source: PA
Source: PA