The Williams F1 tester looks set to be overlooked by the team in favour of the well-backed Lance Stroll, with Valtteri Bottas and a number of drivers already on the F1 grid in the frame for the team's other seat.
But now Lynn is being touted for a role with e.dams, the Formula E offshoot of the DAMS team he races for in GP2.
"I have been discussing [options] with him. We're waiting to know his 2017 programme," DAMS boss Jean-Paul Driot told Autosport.
He also said any potential role would "start with" test and development work.
Lynn, who was in the frame for a Formula E drive with Jaguar after testing with the team, has admitted that a future in Formula E is something that interests him.
"It's a great championship and it's obviously going places," he said. "As drivers, we're always interested in racing for manufacturer teams and big car companies.
"It's going one way and that's a big lure - it's definitely on my radar," he said.
The former Formula Renault UK and GP3 champion is set to complete the 2016 FIA World Endurance Championship with former Formula One outfit Manor.
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