The Sun says Lampard is in France on holiday and plans to meet the Blues' billionaire owner on the £380million Eclipse anchored off glitzy St Tropez.
But Rams owner Mel Morris has made it clear Chelsea will have to pay millions in compensation to bring Lampard back.
The Blues will need permission from Championship Derby before any talks take place.
Chelsea confirmed Sarri's exit on Sunday and it means the club is managerless less than a month after winning the Europa League.
Lamps is keen to take the job and Chelsea's fans, not put off by the fact he has had just one season as a manager, want him too.