The Victorian batsman, who played an integral part in the Steelbacks’ Twenty20 success last year, was recently recalled to the Australian side and starred in their 3-0 series victory over England.
A return to the County Ground was a non-starter prior to White’s elevation due to him falling well short of the criteria needed to obtain a work permit, but he is now three international appearances - in the white ball formats - from meeting the necessary standard.
And Smith admitted that the club would be foolish not to pay attention to the situation.
He said: “We’re looking at it very carefully and we would be a bit silly if we didn’t.
“It wasn’t an option at all before he got called up but now he’s involved, and I fully expect him to go to the World Twenty20 in March, it might be possible to try and get him back.
“If he does qualify for a work permit, and that’s still a big if, then our challenge would be to try and secure the funding to make such a move possible.”
For more on the story see this week’s paper.