The ex-communications chief was made a Labour peer after leaving Downing Street in March 2025, but was suspended from the parliamentary party this February over links with a convicted sex offender.
Last week's public and private backing for Liam Rosenior is not forthcoming on Wednesday from BBC sources after a fifth successive league defeat without scoring.
The apparent leak of Chelsea team news before Tuesday's defeat at Brighton is being linked to posts reportedly made on social media platform X by Marc Cucurella's barber.