The strike would be a high-point of the winger's career with the Championship side.
The 24-year-old was released by Leeds over the summer and has now left Rotherham to join Barnsley in League One.
There will be no Leeds United reunion for Aidy White this weekend.
New Rotherham signing Aidy White was a regular for Leeds United for several seasons.
The Sheffield Wednesday man joins ex-Leeds United star White at the New York Stadium.
The new Rotherham signing is focused on playing football for his new club after moving across Yorkshire on a free transfer.
One of those players recently released by Leeds United has found a new club.
The midfielder has been at Leeds since the age of eleven, and is now set to feature for another Yorkshire club after moving to the New York Stadium.
The left-sided operator has decided to keep it local with a move to Rotherham United.
Sheffield United will reportedly make a late move to sign former Leeds ace Aidy White.