Australia, the top-ranked Test side, have been without a full-time bowling coach since the departure of Craig McDermott following the conclusion of the World Twenty20 earlier this month.
Commenting on the matter, Lehmann said that Gillespie will certainly be at forefront with other bowling coaches for the vacant position, the Guardian reported.
Lehmann added that they hope to entice the former paceman back in the national squad this autumn.
Gillespie, who has taken 259 wickets in his 71 Tests for Australia, is currently coaching England's domestic club Yorkshire and is hoping to guide his side to third consecutive county championships.
Image: Jason Gillespie
Photograph: Tony Marshall/Getty Images
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