Maurizio Sarri remains under huge pressure in his job as Chelsea manager.
The Blues' latest defeat came in Sunday's 2-0 humbling at Everton
, leaving them adrift in the race for the Premier League
Chelsea would like to keep Sarri until the end of the season, but are aware that growing fan unrest may force their hand.
Former assistant manager Steve Holland – now with England – is their first choice as replacement but he is with the national side during the upcoming international break.
The Stamford Bridge hierarchy are worried that their impending transfer ban will scupper the appointment of a long-term successor to Sarri.
As it stands, Chelsea will not be able to buy players this summer, with star man Eden Hazard looking to move to Real Madrid.
Fans have continued to voice their discontent at results and performances in recent weeks.
Following a 6-0 demolition at the hands of Manchester City last month, the Blues were dumped out of the FA Cup by Manchester United and then lost the League Cup final in embarrassing circumstances.
Sarri's authority was called into question after goalkeeper Kepa Arrizabalaga refused to be substituted in extra time.
A recovery in form eased tensions but an abject second half performance at Goodison Park on Sunday leaves the club three points adrift of fourth-placed Arsenal.
Failing to reach the Champions League could be a major blow for the club as they will be unable to strengthen in the summer.
MAURIZIO SARRI'S CHELSEA RECORD
Win rate: 64 per cent
Chelsea were handed a two-window transfer ban by FIFA last month after it was deemed that the club breached rules regarding the signing of overseas players under the age of 18.
The club appealed the decision but they were then denied the chance to have their ban frozen during the appeal process, which left the Blues 'astonished'.
A statement from the club read: 'Chelsea Football Club is astonished by the FIFA appeal committee's decision not to suspend its sanction pending completion of the appeal process.
'So far as the club is aware, in all previous cases where a registration ban has been imposed by FIFA, a decision has also been made to suspend the sanction until the appeal process has been completed.
'Chelsea considers that it is being treated inconsistently in comparison with other European clubs.'
The ban has called into question the future of star player Eden Hazard, who has long been courted by Spanish giants Real Madrid.
Matters are expected to come to a head this summer as the 28-year-old is now reaching the latter stages of his career. As a result, he could well be tempted by any rebuilding project conducted by returning Real boss Zinedine Zidane.
Chelsea's inability to make wholesale changes themselves could force Hazard's hand, despite remaining fiercely loyal to the west London club since joining from Lille in 2012.