Clarke or Warnock will take over from Tony Pulis, who resigned from his position on August 14th.
Only Steve Clarke and Neil Warnock are in the running for the Crystal Palace job, BBC Sport reports.
Both men have been interviewed this week with the club set to make a decision on which one will be their new manager on Wednesday.
Palace have been searching for a new manager since Tony Pulis left the club before the start of the new Premier League season.
The south London club were close to appointing Malky Mackay but they turned their back on the former Cardiff boss after it was revealed that he sent inappropriate texts and e-mails about players from his former club.
Tim Sherwood had also been in the running for the Palace job but pulled out of the race to succeed Pulis last week.
Now, the choice is between Clarke and former Palace manager Warnock, who enjoyed a spell at Selhurst Park between 2007 and 2010. Warnock has been out of work since leaving Leeds in April 2013.
Clarke’s only managerial role was with West Bromwich Albion. He led the Baggies to their highest top flight finish since 1981 but was sacked mid-way through last season.
SEE ALSO: best Premier League players 2014/15