Adkins, who took over at the Madejski Stadium at the end of March, guided Southampton to successive promotions which culminated in their promotion to the Premier League, finising in second place in the Championship behind winners Reading in 2011-12.
And despite failing to avoid the drop with the Berkshire-based outfit this year, Adkins is confident his experienced side can challenge for promotion back to the top-flight next season.
Reading are 10/1 with BetVictor to win the Championship next season
"We want to play in a certain manner but it has got to be winning football.
"The players sampled the Championship last year so I'd like to think that gives us a good opportunity with the stability that we've already got at the club to look to strive to keep improving on what we've got. It is about winning – we are all well aware of that.
"Reading were in the Championship last season and I promoted myself out of the division so we know how relentless it is going to be next season."
Adkins also praised the contribution of super sub Adam Le Fondre and insists the striker, who tops Reading's scoring charts, remains a key part of his squad despite rumours linking him with a move away.
"Very much so," said Adkins when asked is Le Fondre still has a role to play. "I think he has set a record for coming off the bench to score in the Premier League.
"You need to have a squad of players next season and to be successful you have got to go and score goals. You can't just rely on one player to do that."