BILD report that Dortmund are lining up deals for SC Freiburg's Matthias Ginter and Real Madrid striker Alvaro Morata, who have both been linked with moves to the Gunners.
Arsene Wenger may need to make reinforcements in both the central defensive and attacking areas this summer, with doubts persisting over the futures of Thomas Vermaelen and Lukas Podolski, while Nicklas Bendtner will most certainly depart.
Morata had been explored as a potential option to address the Gunners' lack of speed up front, but their interest appears to have cooled in recent weeks, with Josip Drmic touted as an alternative.
It now seems as if Dortmund have nudged their way ahead in the queue for the Spaniard's signature in their attempts to bolster a strikeforce which will be Robert Lewandowski-less next term, with the Pole heading to Bayern Munich.
Hertha Berlin striker Adrian Ramos is already believed to be close to signing for Klopp's side, but the Dortmund chief looks keen to add more options to a frontline which has become over-reliant on Lewandowski.
Ginter, meanwhile, has blossomed this season at Freiburg, despite his side's battle against relegation, with Arsenal and Manchester United both scouting him extensively all season long.
Arsenal's interest in the 20-year-old dates back to last summer, but Ginter's promotion to the international scene, coupled with his consistent club form, this season has attracted plenty of suitors.
With Bacary Sagna, Arsenal's auxiliary fourth choice central defender, looking set to leave the club this summer and Vermaelen also headed for a possible exit, Arsenal may have to step up their interest if they are to see off Dortmund for the latest German prodigy.