Arizona State is seeking to replace Herb Sendek, who was fired on Tuesday after nine seasons with the program.
Sendek had a 159-137 in his tenure with the Sun Devils, but failed to get the team to the NCAA tournament in seven of his nine seasons, including this season when Arizona State went 18-16.
The 40-year-old Capel has been an assistant with the Blue Devils since 2011.
Duke is currently competing in the NCAA tournament. The Blue Devils play Utah in the Sweet 16 on Friday.
- Scooby Axson