Free agent deals agreed upon with closer David Robertson and left fielder Melky Cabrera left the White Sox without a second- or third-round pick. They don't select again until No. 112 in the fourth round some time on Tuesday afternoon.
Hostetler believes the White Sox will be ready to add some important pieces when their time comes back around.
"As we get closer, probably at the end of tonight, we'll see what's on the board and start re-ranking those guys," Hostetler said. "We'll look at our options and kind of project what's going to happen, what we think is going to happen in the third and prepare for our fourth.
"There's depth on that board. For me personally, I think when we get in that room tomorrow morning, we are going to have four or five guys that we are targeting to get even in the fourth and fifth."
Scott Merkin is a reporter for MLB.com. Read his blog, Merk's Works, follow him on Twitter @scottmerkin and listen to his podcast. This story was not subject to the approval of Major League Baseball or its clubs.