
Phil Parkinson's side beat in-form Southampton 2-1 in the last game before the international break nearly three weeks ago to move up to 14th place in the Championship with 10 points from the opening eight games.
There are now seven matches before the next break in mid-November, starting with the clash against the Rams at Pride Park this weekend.
Derby are third from bottom with just five points from a possible 24 and the Reds will be aiming to inflict more misery on John Eustace's outfit.
Wrexham then have back-to-back home fixtures to look forward to, with the clash against high-flying West Brom on Tuesday October 13 followed by the visit of lowly Preston North End to The Racecourse four days later.
The Baggies are fifth in the table, four points ahead of Wrexham, while second bottom Preston will be hoping for a change in fortune after Graham Alexander replaced Paul Heckingbottom as manager following the poor start to the season.
That is followed by two successive away games, with the Reds heading to Blackburn Rovers on Saturday October 24 before making the trip to Sheffield United on Friday October 30.
Rovers and United are both one point behind the Reds in 16th and 18th position respectively.
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The clash at Bramall Lane is the last game in October and Wrexham kick-off November with two tough home matches.
Middlesbrough, who sit third in the standings and are one of the favourites for the title, arrive at The Racecourse on Wednesday November 4 while Wolves, currently fourth in the table and tipped for an immediate return to the Premier League, are the visitors three days later before a two-week hiatus for the final international break of the year.
Wrexham players have been preparing for the Derby clash in training this week and will have their international team-mates joining them back at Colliers Park.
Danny Ward and Kieffer Moore have been on Wales duty while Issa Kabore (Burkino Faso), Jacques Ekomie (Gabon) and Bailey Cadamarteri (Jamaica) have also been away.