A vacation bench of justices BS Chauhan and Dipak Misra will hear their plea.
The Talwar couple has approached the Supreme Court challenging the order of the special CBI court rejecting their plea for calling 14 other witnesses, including ADG (Law and Order) and the then CBI Joint Director Arun Kumar, to record their statements.
The trial court had dismissed their petition on May 6 and ordered recording of statements of Rajesh and Nupur, who are the main accused.
The statement of CBI investigating officer AGL Kaul, the last prosecution witness, has already been recorded.
CBI has alleged in court that 14-year-old Aarushi's murder five years back was carried out by her parents and that no outsider was present.
In his deposition before the special court, Kaul, who headed the CBI probe, had submitted that the agency's investigation had revealed no evidence of any third person's entry into the Talwar's residence.
Aarushi was found dead with her throat slit in her bedroom on May 16, 2008.
The initial suspicion went on Hemraj whose body was later found in the terrace at their residence in Jalvayu Vihar in Noida on the outskirts of Delhi.