Draws against high-flying Aston Villa and Championship leaders Wolves in the last week have seen the East Yorkshire club move seven points clear of the bottom three.
They host 15th-placed QPR today who are safe in the knowledge they have secured their status for next term.
“It’s going to be a tough game because Queens Park Rangers are in good form at the moment,” said Adkins.
“They’ve managed to get themselves safe in the division and they’ll maybe be able to play with a little bit of freedom and do something different.
“Ian Holloway is an imaginative coach, too.
“They scored four goals the other day and although they lost the game before that at Reading, they actually battered them during the game.
“It’s going to be a challenging game, so we’ll have to be bang at it.
“Everybody has refocused after the midweek game to make sure they are ready for this next challenge.”
Adkins was asked whether he thing his side could finally secure their status shortly with further fixtures against bottom-placed Burton Albion and Sheffield Wednesday in the next week.
“From my point of view, the only thing I concentrate on is the next game,” he said.
“Yes, I want to win each of the next six games.
“Mathematically, it is going to be a period of time before anything is decided.
“We’re building and I want our performances to be consistently good.”
Holloway believes his side are finally beginning to play with an identity that suits the players he has at his disposal.
“I think we are beginning to see the consistency in the work-rate, the consistency in the pressing and consistency in our choices,” said the QPR boss.