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.
Bahrain International Circuit - Winter testing