The Royals are without a game this weekend and must start planning for next season in the Championship after losing their battle against the drop last month.
Adkins had little time to rescue Reading after taking over in March, but he has begun his search for new recruits in a bid to prepare the club for a promotion push.
"It's not a clear weekend at all," he said.
"It is a great opportunity for us to review one or two targets for the summer. At this stage of the season the recruitment side of things kicks in at all football clubs and that'll be no different with ourselves.
"There are plenty of games throughout Europe for us to go and watch with the targets that we have got."
Reading have been linked with a number of players, including Motherwell midfielder Chris Humphreys, while captain Jobi McAnuff, top goalscorer Adam Le Fondre and goalkeeper Alex McCarthy could depart in the summer.
Adkins admits he needs to assemble a squad which will relish the challenge of dragging the club back to the top tier.
"Of course whatever we do, we do privately," he said.
"There'll be lots of speculation about players coming in, players going out - but we'll do our business as privately as we can, not getting involved in speculation.
"Our objective is to get a squad of players next season that will be hungry and harbour a desire to cope with the demands and challenges of the Championship, so that Reading can ultimately get back in the Premier League.
"It has been really beneficial to be here for five weeks and look at the squad of players we have got.
"Every club will look to evolve the group of players they have got but what has been demonstrated is that we have got a hungry group of players who all want to be working hard for Reading."