The Personal History Of David Copperfield launches on $520,000.
Epic stands at $163m through all cinemas since August 21 debut.
Distributor confident of reaching $8m by Thursday, $30m by end of run.
Fantasy film originally opened around rest of world 19 years ago.
US major chains scheduled to reopen this week.
Takings rose 30% on previous weekend as more than a third of all cinemas are now open.