Wolverhampton Wanderers are due to face Ipswich Town on Saturday.
Henry, Williamson and Edwards have all been ruled out with injury recently, but the trio have made good progress with their comebacks.
And Jackett is hoping that the return of his more experienced players can help ensure that Wolves’ season does not peter out.
“We're hopeful of having James Henry near by the time we play Ipswich,” Jackett said.
"Mike Williamson as well. And David Edwards isn't too far behind.
"We don't want the season to fall away, we want to show a good hunger about us.
"The only thing that matters is how the club goes forward.
"We feel we're not far away and we have some developing players that are close now, and ready and hungry enough.”
Wolves look destined to spend next season playing at Championship level, as they have failed to live up to expectations this term.
The Midlands side currently sit in 12th place in the Championship table, and they are 14 points back from the play off spots.
Wolves have relatively little pressure on them, meaning that the rest of the season is likely to be used as preparation for next term.
Wolves head into their match against Ipswich on Saturday on the back of a three match unbeaten run.
The Tractor Boys, meanwhile, have been out of sorts recently and they have won just one of their last four matches.