Australia could be poised to make a significant addition to their coaching staff, with reports former Test paceman Jason Gillespie is close to landing the job as the full-time bowling coach.

Cricket Australia has yet to make a formal announcement on a replacement for Craig McDermott after his departure following the ICC World T20, however Western Australia bowling coach Adam Griffith and South Africa legend Allan Donald will fill the role during the tours of the Caribbean and Sri Lanka respectively.

“We’re speaking with a number of candidates but by no means is anything confirmed,” a Cricket Australia spokesperson said on Tuesday night.

“We’ll look to make an announcement as soon as the process is complete, with the aim to have the coaching team finalised, at latest, by the start of the 2016-17 Australian summer.”

WATCH: Travis Head capped by Gillespie

Bupa Support Team Head Coach Darren Lehmann last month hinted that Gillespie would be high on the list of candidates, but the current Yorkshire coach later denied he had spoken with anyone in Australian cricket regarding the role.

"We'll have a look worldwide," Lehmann told FIVEaa radio in April.

"But it's a tough one, we've got to get the right person for the right time for this group, which is a young group.

"Gillespie will certainly be at forefront with other bowling coaches. Hopefully we can entice him back."

Former Australian quicks Ryan Harris and Andy Bichel are also among the names considered potential candidates for the job, alongside highly-rated international mentors in Donald and New Zealand’s Shane Bond.

WATCH: The best of White Lightning

According to the Fairfax media report, discussions with Gillespie reached an ‘advanced level’ as he contemplates a move back home with his family.

"There is still a lot to do at Yorkshire and I solely want to concentrate on helping this team win cricket matches,” Gillespie told Yorkshire's official website in the days after Lehmann’s comments were widely reported.

"You don't rule out opportunities in the future. It's whether you feel like you can make a difference in any job that comes available.

"It’s well documented that I’ve got four kids under the age of 10.

"My eldest daughter, she’s 21, has just had a little girl. So family is important, and it should be an important consideration. Any job that comes up, certainly, I’ve always said family comes first.

"If any opportunities come up in the future, that would be certainly be a consideration."

WATCH: Inside the Strikers dressing room

Gillespie is currently in his fifth season at the helm of Yorkshire, while he also took on the head coaching role at the Adelaide Strikers starting last summer.