Chelsea needed to fight-back from 2-0 down at home to Ipswich on Saturday to draw 2-2, with the team and their manager booed off at halftime.
However, The Sun says Chelsea's owners are convinced Maresca remains the right man in charge.
An insider stated: “Everyone at the club is totally on board and committed to getting us back in the Champions League.
“Enzo, the board and the sporting directors are wedded to that ideal.
“If it doesn’t happen this season there will be questions asked naturally. But as it stands Enzo is still seen as the man to take Chelsea forwards.”