Higginbotham was speaking after the Rams and Clarets played out a 0-0 draw at the iPro Stadium On Monday night, and the former Stoke City defender saw enough in the match to suggest that Sean Dyche's men will be positioned near the top of the Championship table at the end of the campaign.
Higginbotham says that Burnley's greater attacking threat makes them a better prospect for promotion than the Rams, who will need to score more frequently if they are to make it into the top-two.
"I still think Burnley [are more likely to go up], with their knowhow," he said. "Sean Dyche's side have a fantastic defence, and they know that they can score goals.
"What Derby need to do is they need to start scoring goals. They are starting to create chances now, and with the players that they've got they should be scoring more often. Once they do start scoring more often, they will be taken more seriously."
Burnley brought in Andre Gray and Rouwen Hennings to strengthen their forward line over the summer, after Danny Ings left.
So far the Clarets have netted 11 times in Championship action this season, and that is a total which dwarfs what the Rams have managed.
Derby have scored seven times in eight matches, making them the third lowest scorers in the second tier, and they will have to find a way to goal more regularly if they are to meet expectations this season.
The good news for the Rams is that they have the likes of Johnny Russell, Chris Martin, Tom Ince, Andreas Weimann and Darren Bent in their squad, so finding the back of the net should not be too difficult, once they click into gear.