It has been a productive mid-season break for Thomas Tuchel's side, which has also enjoyed comfortable wins over PSV and Standard Liege before a return to Bundesliga action at Werder Bremen on Sunday.

The only sour note of the victory was an injury to Sven Bender, who had to limp off after 19 minutes with an apparent ankle problem following a heavy challenge from Sven Michel.

Dortmund shrugged off that early setback and took the lead midway through the half as Gotze fed Gonzalo Castro, who took the ball in his stride, stepped away from a defender and poked home.

Paderborn was level within six minutes as a poor header from Lukasz Piszczek allowed Thomas Bertels to nip in and punish the defender.

Reus restored Dortmund's lead from Marcel Schmelzer's cut-back before the break, and it was 3-1 just after the hour as Gotze rolled his defender and produced an emphatic finish in off the crossbar.

Two Andre Schurrle penalties - both for fouls on Mikel Merino - sandwiched Raphael Guerreiro's effort as Dortmund ran riot in the final quarter.