With relegation from the Barclays Premier League confirmed, the Royals welcome beaten FA Cup finalists Manchester City to the Madejski Stadium on Tuesday evening in their last home game of the campaign.
Although they will be back in the npower Championship next year, Reading have played exciting football for much of their solitary season back in the top flight.
That has led to interest in a number of players from other Premier League clubs, with the likes of goalkeeper Alex McCarthy and captain Jobi McAnuff likely to be given a chance of remaining in the division.
But Adkins will only allow players who do not have a future at the club to leave over the summer.
"We are in a good position," he said. "We are going to do what we want to do at Reading, that is the important thing.
"We have sampled the Premier League this season and we are in the Championship next year. There is the drive to get back into the Premier League and, having learned the lessons of this season, do better."