Germany finished top of their World Cup group but crashed out in the round of 32 on penalties to Paraguay, a result that made Julian Nagelsmann's position untenable. His departure was confirmed last Friday, clearing the way for Klopp's return to the touchline.
Transfer insider Fabrizio Romano reported on Sunday that Klopp has agreed to become the new head coach, ending a two-year break from management since leaving Liverpool.
Klopp himself confirmed the talks were under way while working as a World Cup pundit for Magenta TV, telling viewers: "Yes, I can confirm the talks.
"Julian resigned, and the DFB is working on a succession plan and over the course of these deliberations, they have reached out to me."
Klopp has spent the period since his Anfield exit working as head of global football for the Red Bull group, though final details of his departure from that role are still being finalised, with reports in Germany suggesting Red Bull may seek a compensation fee before releasing him.
According to the Telegraph, Klopp is keen to bring Lijnders into his new set-up, hoping the Dutchman will once again serve as his assistant, just as he did throughout their time together on Merseyside.
Lijnders' most recent role was as assistant to Pep Guardiola at Manchester City, a position he left when Guardiola himself departed the club this summer. Before that spell in Manchester, he had spent close to a decade working alongside Klopp at Liverpool, first as a youth coach before being promoted to first-team assistant, forming one of the most trusted partnerships in the club's recent history and playing a key role in the Reds' Premier League and Champions League successes.
Klopp's task in charge of Germany will be to rebuild a team that has now suffered early exits in three consecutive major tournaments, including group-stage eliminations at the last two World Cups before this latest round-of-32 defeat, with the next assignment being the 2028 European Championship.
Should the Lijnders reunion materialise, Klopp would be bringing a familiar voice into the dressing room as he attempts to restore the national side to the level it enjoyed before Nagelsmann's tenure.