Following a continued failure to regularly convince it is claimed that Ferrari boss Maurizio Arrivabene is losing patience and that the Finn himself is somewhat disillusioned.
The man linked with the second Ferrari seat is fellow Finn Valtteri Bottas, who, it was claimed last week, is already the subject of a payment from the Maranello outfit to release him from his contract for next season with the Grove outfit.
Should Bottas head to Ferrari this would leave a vacant seat with the team likely to finish in the top three, and as a result attention is now beginning to focus on Grove.
From out of nowhere, it is being claimed that Jenson Button will head back to the team with which he started his career in 2000. However, no sooner than the 'Button to Williams' headlines hit the web than 'McLaren to block Button move' were out there.
Whilst Button remains one of the most popular drivers on the grid, a view recently confirmed by a fan survey, and has become a great ambassador for the sport, one has to ask does he really need another season in F1?
He's won the races, taken the title, done and seen it all. He's married with his whole life ahead of him and has nothing to prove.
He is currently enduring the troubles at McLaren-Honda like the seasoned pro that he is, but rather than eyeing a return to where it all began it is far more likely that he is considering joining his old mate Mark Webber in WEC.
Fact is, this whole Button to Williams saga has a smoke and mirrors feel about it... and let's not forget than in the wake of his original departure from Williams after just one season there was all sorts of talk about long-standing, mysterious deals with the British team.
Indeed, on one occasion Button told this website that there was an agreement in place to prevent him talking about whether there was an agreement. Such is F1.