The series - from Heroes creator Tim Kring - stars the younger Sutherland as Martin Bohm, a father who discovers that his mute son Jake (David Mazouz) can predict future events.
"We're working on episodes five and six right now, but I certainly have conveyed to Tim Kring... that my father is someone who I would very, very much like to work with," Kiefer told reporters in a recent conference call.
He added: "My father knows of this piece and I certainly have talked to him about it."
However, the former 24 star clarified that there are currently no solid plans for his father to play a guest role.
"We certainly do not have a script or a story or anything like that," he explained. "But it certainly is open."
Kiefer went on to say that he would "be honoured" to work with his father again.
"I think one of the things that's so attractive about this piece is Tim Kring's writing and character development," he said.
"They give people an opportunity to show some stuff that they might not normally get [to do] and I would be honoured to be able to do something like this with my dad."
The pair previously appeared on-screen together in two films, 1983's Max Dugan Returns and 1996's A Time to Kill.
Touch will premiere on Fox tonight (January 25) with a special preview. The series will then air in its regular Monday night slot from March 19.
> Kiefer Sutherland Touch interview: 'Following 24 was daunting'
Watch a trailer for Touch below: