Coutts missed the Rams' final two friendly matches against Burton and West Brom due to a groin complaint, but Clough is confident the midfielder will be able to line up against Rovers when his side get their Sky Bet Championship campaign under way on Sunday.
"He will do some running today (Monday), with a view to training on Tuesday," Clough told reporters following Derby's 2-0 defeat to West Brom on Saturday.
"We are confident he will be available for the Blackburn game, although we were happy with the way the midfield worked against West Brom."
Coutts is not the only Rams player nursing an injury ahead of the big kick-off, with teenage striker Mason Bennett in some discomfort with a suspected cracked rib.
Clough added: "Mason tried to train but felt the injury. Anybody who has had a whack in the ribs will know how painful it is. He might have suffered a cracked rib as well. He is down to train towards the end of the week."