Mr Andrews has faced criticism in recent weeks, particularly over the quarantine hotel saga that led to most of the state’s deadly second wave of coronavirus cases and prompted an inquiry.
The Premier has repeatedly refused to release information related to quarantine hotels, although he told reporters he would be accountable for mistakes made.
Hearings for the inquiry before Justice Jennifer Coate will continue on Monday, with evidence from a returned traveller and two security guards.
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Mr Andrews’ commitment comes after tensions within the Victorian Liberals as Opposition Leader Michael O’Brien struggled to make gains against the Premier, despite Victoria’s stage four lockdown.