Ian Evatt’s men beat League Two Barrow 1-0 in the opening round thanks to West Brom loanee Zac Ashworth’s free kick.
Meanwhile, Middlesbrough ran out 3-2 winners at Huddersfield after goals from Samuel Silvera, Isaiah Jones and Riley McGree.
Wanderers are winless in their last 10 matches against the North East club – a run stretching back to April 2013.
The Whites were beaten 2-0 when the sides last met in April 2019, with Ashley Fletcher bagging a brace that day.
The draw was carried out by former Leicester defender Wes Morgan and ex-Aston Villa boss Martin O’Neill.
The competition remains regionalised at this stage, with separate draws taking place for the northern and southern sections.
A number of top flight clubs enter the competition in the second round including the likes of Chelsea and Tottenham.
All second-round fixtures are currently scheduled to take place on Tuesday, August 30 and Wednesday, August 31.
Here is the Carabao Cup second-round draw in full
Northern section
- Tranmere Rovers v Leicester City
- Salford City v Leeds United
- Harrogate Town v Blackburn
- Stoke City v Rotherham United
- Wrexham v Bradford City
- Doncaster Rovers v Everton
- Wanderers v Middlesbrough
- Port Vale v Crewe Alexandra
- Nottingham Forest v Burnley
- Sheffield Wednesday v Mansfield Town
- Wolverhampton Wanderers v Blackpool
- Sheffield United v Lincoln City
Southern section
- Bristol City v Queens Park Rangers or Norwich City
- Plymouth Argyle v Crystal Palace
- Reading v Ipswich Town
- Portsmouth v Peterborough United
- Luton Town v Gillingham
- Swansea City v Bournemouth
- Fulham v Tottenham Hotspur
- Exeter City v Stevenage
- Wycombe Wanderers v Sutton United
- Birmingham City v Cardiff City
- Newport County v Brentford
- Chelsea v Wimbledon
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