The Royals signed off their Premier League campaign with a 4-2 defeat at West Ham, although their fate had long been sealed and they finish the season in 19th place.
"There is a good feel-good factor going forward for next season, which is important," said Adkins, who replaced the sacked Brian McDermott in March.
"We have changed the way the club has played football - we are looking to be more in control with keeping the football for longer periods of time and that takes time to get everyone ready to go and do that."
Adkins felt his side had given a good account of themselves on the final day of the season.
"Great credit to the players, they showed really good character and in the second half we came out and scored two good goals. We were in the ascendancy up until they scored the third," he said.
"That was a shame but it's what you do in both penalty areas."
Adkins - a former goalkeeper himself - also had words of comfort for Alex McCarthy after his mistake gifted West Ham their opener as the 23-year-old prepares to link up with the senior England squad for the first time.
He said: "Alex is still a young goalkeeper. It's all a good learning experience. He just needed to clear the football, didn't he? It was a poor execution and that's life.
"The big thing I've noticed with Alex is if he does make a mistake he can quickly forget it, which is important in a goalkeeper. It's how quickly you can move on and Alex has done that. He is going to develop into a really good goalkeeper."