The Royals' demotion to the Championship was confirmed three weeks ago when they failed to beat QPR but they followed that result up with a 4-2 win over Fulham.
Adkins' men have secured five points from their last five matches, with their goalless draw against Liverpool on April 13 ending an eight-match losing streak.
"We have already finished on a high note," said Adkins. "Over the last seven or eight weeks there's been a good progression in what we've wanted to do.
"The players are in a good state of mind and looking forward there's a lot of belief about what we're doing for the future.
"We've got a driving ambition, we want to be back in the Barclays Premier League.
"The players are well aware of what's going to be required of them next season and there's a feel good factor about the place."