The set - currently number one in the midweeks - is 20,000 copies ahead of its closest competitor, Emeli Sandé's Our Version Of Events.
L - R: Hugh Jackman, Anne Hathaway
If the LP manages to hold on to pole position on the tally until Sunday, it will be the first film cast recording to top the Official Chart in almost 16 years.
The last movie album to achieve the same feat was the Madonna-fronted Evita soundtrack in February 1997.
The Les Misérables LP includes Anne Hathaway's rendition of 'I Dreamed A Dream', her duet with Hugh Jackman on 'At The End of the Day' and Russell Crowe's 'Stars'.
The film recently topped the UK box office charts, pulling in £8 million on its opening weekend.
Watch Digital Spy speak to the stars of Les Misérables below: