"I have five picks. It's not like I can offer up a whole lot to make any great moves upwards," Grigson told reporters.
"With a very deep draft and with all the juniors, the exciting thing is after the draft. We are going to really focus on that.
"We're looking at different avenues on how we can be productive on draft day with just five picks. I think after the draft, with the depth of this draft, I feel that's really an area to really target. You know they're at least going to make some noise in camp."
The Colts' first pick in the 2014 Draft will be 59th overall in the second round.