The Whites will take on Yorkshire rivals Doncaster Rovers away from home at the Keepmoat Stadium in the first round of the prestigious cup competition next month.
Sharp seems to be happy with the draw and has posted the following message on Twitter:
Great draw in the capital one cup ,Doncaster away— billy sharp (@billysharp10) June 16, 2015
It will be a special occasion for Sharp, as he has played for Doncaster before in his career.
The 29-year-old English striker first turned out for Donny on loan from Sheffield United during the 2009-10 season.
Sharp joined the Rovers on a permanent contract thereafter and left in 2012, only to return for another loan spell - this time from Southampton in 2014.
Currently on the books of Leeds, Sharp seems to be eager to play against his former club, although there is a chance that he could be sold by the Whites this summer.
Last week, newly-appointed Sheffield United manager Nigel Adkins hinted that he could make a move for Sharp this summer.
"Billy is a Leeds United player as it stands. He’s a player that I know, a great lad and scores goals,” the former Southampton boss told The Yorkshire Evening Post.
"But he is a Leeds United football player and I think, just at this moment in time - and I know everyone is going to talk about when are you going to sign a player - it’s better for me to keep my counsel and avoid being linked to players.
"That allows me to ascertain the group of players we have got and where the finances can be utilised in the correct manner for the players that have become available.”
Doncaster away hometown back to where it all started for me! ⚽— AlexMowatt (@alex_mowatt) June 16, 2015