Kubica had been keen to take the seat vacated by Felipe Massa after making a return to the sport following serious, and potentially career-ending, injuries in a rally crash seven years ago.
However, it seems as if Sergey Sirotkin will partner Lance Stroll at Williams, with an announcement expected in the coming days, but Kubica could be set for a role with the team regardless.
French publication L’Equipe report he has been offered the position as reserve driver, as Williams believe his experience will be of benefit to Sirotkin and Stroll.
Preston are reportedly weighing up whether or not to make a fourth offer for Peterborough United left-back Andrew Hughes.
James Maddison has completed his move from Norwich City to Leicester City for an undisclosed fee.