Derby County have won just one of their last eight matches.
And although Wilkins does not believe that the sacking of Paul Clement was necessarily justified, he still feels that Derby are right in the thick of the promotion race.
“They have, but that win could've come under Paul too,” the former Chelsea assistant said. “They have had a lot of investment this year on some quality players, and this shows what they do have in their locker.
“For me, Middlesbrough [will be promoted] and then it’s out of Burnley or Derby. I’ve just got a bit of a feeling for Derby.”
Derby were one of the front runners for promotion over the early part of the season, but a poor recent run of form has seen them tumble down the standings.
Clement was sacked as a result of Derby’s slump, but Darren Wassall seems to have made a positive start as boss.
Although Wassall’s first game in charge ended in defeat to Milton Keynes Dons, Derby produced a great comeback to beat Brentford.
The Rams scored three times in the last 10 minutes to claim the three points, which have moved them above Sheffield Wednesday in the Championship table.
Derby are currently five points away from the automatic promotion spots, and their next match comes against Blackburn Rovers on Wednesday evening.