James Cleverly and Robert Jenrick will face a grilling from Conservative members on the main stage of the party conference during its penultimate day.
The two hopefuls to succeed Rishi Sunak will follow in the footsteps of rivals Kemi Badenoch and Tom Tugendhat, who were questioned by members on Monday.
The Birmingham conference, a subdued affair in which Tory members are seeking to regroup after their crippling election defeat, was overshadowed by global events as it headed into its third day.
Israel began a military incursion into Lebanon on Monday night, sparking the UK Government to warn British nationals in Lebanon to leave amid concerns about the widening conflict.
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