The Blades have failed to win any of their five league games since Adams and assistant Alan Cork replaced previous boss Gary Speed at the end of December and have slipped into the bottom three. They are currently four points adrift of safety.
Birch said: "The reports are without foundation. Less than two months ago, we handed Micky and Alan Cork two-and-a-half year contracts because we believe they are the men to take Sheffield United forward - that is still the case.
"The new management team have not had the easiest of starts, but are still getting to know the players they inherited and have already boosted the squad with the permanent signings of experienced professionals such as Michael Doyle and Neill Collins, as well as bringing in a number of promising loan players.
"As a board, we have complete faith in Micky and Alan and are convinced they have the necessary tools to steer us away from the position we find ourselves in at the moment.
"We're working with them in looking to strengthen the squad by further loans, but that is easier said than done for a club in our position."
Source: PA
Source: PA