Prade's ex-husband, Akron Police Captain Douglas Prade, was convicted a year later and is serving a life sentence.
Governor Ted Strickland and Ohio Attorney General Richard Cordray support new DNA testing of the evidence in hopes of adding clarity to Douglas Prade's involvement.
Prade has always maintained his innocence.
Channel 3 Anchor Eric Mansfield has followed the Prade case extensively for 13 years.
In a letter sent Friday, Walsh downplayed whether updated testing techniques would shed new suspects.
"By its very nature, Dr. Prade's lab coat will contain fluids and skin cells from possibly hundreds of patients," Walsh wrote.
"The lab coat had been worn for several days prior to her murder and that is clear from its dirty appearance. In our conversations with BCI&I and Attorney General Cordray's Office, we all agreed the coat would contain DNA from multiple 'unknown' individuals and that none would likely match Douglas Prade's DNA, thus, providing no additional information."
Walsh went on to call the murder a "classic domestic violence murder" and asked state leaders to provide additional evidence or information on why they believe the testing would be valuable before agreeing to release any evidence for testing.