The Rams' 3-1 defeat to Birmingham City on Saturday leaves the East Midlands club without a win from their last eight matches.
Clough's side have dropped to 15th in the Championship, six points ahead of the relegation places.
"We have been looking over our shoulder for a while, don't worry about that. We have not been looking up too often," Clubcall.com quotes the Derby boss as saying.
"We have always had one eye on it because in the Championship when you get a few injuries and get on a bad run, it is very difficult.
"Every team is vulnerable until you get to that 50-odd points mark. We have known that for a few weeks and that is why we have been absolutely desperate to reach that mark. We need another three wins or something like that but we think we will get them."
Derby host Leicester City on Saturday afternoon.