TALLAHASSEE, Fla. -- It's been a little less than four years since an execution took place in Florida.

That’s set to change on Thursday.

According to Spectrum Bay News 9’s partner newspaper the Tampa Bay Times, attorneys for convicted murderer Donald David Dillbeck went to the U.S. Supreme Court on Monday to try to prevent Dillbeck from being put to death.

Dillbeck was first sentenced to life in prison in 1979 for the shooting death of Lee County Sheriff’s Deputy Dwight Hall.

In 1990, Dillbeck escaped from a inmate work site in Quincy. He made his way to Tallahassee where he carjacked a woman and stabbed her to death.

He was convicted in 1991 of first-degree murder, armed robbery and armed burglary, Department of Corrections records show.

Now, 59, Dillbeck’s attorneys have tried to avoid the execution order by asking the U.S. Supreme Court to appeal, saying Dillbeck has a neurological condition related to being exposed to alcohol before birth.

The Florida Supreme Court rejected a request last week to block the execution, saying Dillbeck’s attorneys failed “to diligently pursue a diagnosis of ND-PAE (prenatal alcohol exposure).”