Zaheer has a niggle but is progressing well and should be available for selection once the medical team has assessed him. On the other hand, right-armer Shami has a minor knee injury and is consulting a specialist to chart a quick recovery process.
Daredevils head coach Gary Kirsten was confident that the pair, when fit, will strengthen the bowling resources.
"We look forward to the return of Zaheer and Shami to the playing XI. Thus far the bowling unit has stood up well and made the most of the opportunities. The most pleasing aspect of our bowling has been the performance of the spinners and the younger fast bowlers," said Kirsten.
Daredevils next play in Pune against Kings XI Punjab on April 15.