Adkins came into the club in March after Brian McDermott was relieved of his duties.
The Royals have picked up two points from his opening five games and Adkins, who brought Southampton up from the Championship last year, is now targeting a similar success with Reading.
"The fact of the matter is we're down," he said.
"We needed to win and we haven't, what we have to do now is get ourselves ready for the Championship.
"We know where we are going to be for next season now. We have players who have experienced the Championship, but like all clubs there will certainly be players coming and going.
"We learned the lessons from being in the Premier League and the objective will be to get back to the Premier League.
"I've been here for five games now. What happened previously is something that was not in my control. All I can do is look at the players, their attitude and application - there are a lot of positives. We're looking to play a certain way."
Despite a poor points return from their season to date Adkins remains confident he has seen signs of progression since he was appointed.
"I think when we look at it, we have only won four all season," he added. "Since Arsenal to now, I think we have improved. Everyone can see the ideas we are trying to implement.
"We've got a really good group of players, they won the Championship last season, but unfortunately the Premier League got away from us this year.
"The lads have given us everything on the training ground and in games and i gave a lot of respect for the players for doing that."