The 5th district covers Pendleton, Carmel, and Westfield.
Uniondale Representative Jeff Espich announced Friday he will not run for re-election.
The major news out of the statehouse this week was the passage of right-to-work in the Indiana House of Representatives.
Democrats could be fined up to $1,000 per day for their absence.
The House voted Tuesday to approve a bill designed to reform the state's charter school system.
Pence is leaving his options open after announcing he won't run for President.