Auburn fired coach Gene Chizik on Nov. 25 after leading the team to a 3-9 overall record. The Tigers were 0-8 in the Southeastern Conference, prompting a change for a team that won the BCS National Championship just two years ago with Cam Newton at quarterback.
Morris has been Clemson's offensive coordinator for the last two seasons. He was also the O.C. at Tulsa for a year before his stint at Clemson. He was a high school football coach in Texas for 16 years, according to NBC Sports' College Football Talk.
Morris interviewed for the North Carolina State head coach job last week.
Auburn is also reportedly interested in Alabama defensive coordinator Kirby Smart and TCU head coach Gary Patterson, according to TigerNet.com.