United host the Rams in the Carabao Cup third-round tie and Grant, who spent eight seasons over two spells at Pride Park, is fully aware of the capabilities of Frank Lampard’s side.
The 35-year-old arrived from Stoke City in the summer and will be hoping to make his competitive debut for the Reds, should Jose Mourinho opt to rotate his squad for the encounter.
“I’ve probably watched most of their games (this season),” he told United Review, the official matchday programme. “I’ve been keeping an eye on a few of their loan signings, who have been doing great; Mason Mount and Harry Wilson have done fantastically.