The Italian arrived from Leicester last summer and initially impressed, guiding Chelsea to a brief title challenge with Liverpool after a strong December.
However, a dismal stretch of three wins in their last 10 league matches, capped by a heavy 3-0 defeat to Brighton, has seen them slip down the table.
Chelsea currently sit sixth, just one point behind fourth-placed Manchester City, but face competition from Bournemouth and Nottingham Forest for a European spot.
With the Premier League likely to receive five Champions League places next season, Maresca still has a realistic path to securing qualification.
Despite recent struggles, The Athletic reports that Chelsea’s board, led by Todd Boehly, remains content with the team’s progress under Pep Guardiola’s former assistant.