Pike, 50, survived two doses of pentobarbital as executioners attempted to put her to death September 30 for the 1995 beating and stabbing death of classmate Colleen Slemmer.
Pike is believed to be the only person to survive after lethal injection drugs were administered.
Pike's lawyers are set to appear in court Wednesday as they are seeking more information from the Tennessee Department of Correction.
Chancery Court Judge I'Ashea Myles has scheduled a Wednesday morning status conference in Nashville in the case.
"Against all odds, Christa Pike is conscious, speaking, and continues to receive critical medical care," lawyers for Pike said in a statement.
Pike's prognosis remains unclear and, at a minimum, she faces a lengthy recovery, the lawyers said.
They said Pike's arms were burned and blistered after the attempted lethal injection and that she was handcuffed to the hospital bed.
Pike's lawyers are seeking a court order on Wednesday to require the prison system to preserve information from the attempted execution including drug lot numbers, needles, execution logs and other information.
Lawyers with the Tennessee attorney-general's office wrote in a Tuesday court filing that the court order is unnecessary because the prison system is "obliged to maintain this evidence in other cases and must assure it is preserved".
They said state officials have taken "the necessary steps to obtain medical care for Pike and ascertain what occurred".
Republican Governor Bill Lee called what happened "deeply disturbing" and ordered a "comprehensive, third-party review to determine exactly what occurred".
The governor postponed the state's only other execution scheduled for this year.
Medical and lethal injection experts have focused on the possibility that a problem with the IV line caused the drug to pool in her tissue rather than entering her bloodstream.
Pike's lawyers wrote in their court filing that "apparently at no point did any member of the execution team realise that the IV lines were not correctly placed or that the veins had blown".
The attempted execution got under way around 7.30pm on September 30 when Pike was given a chance to make a final statement.
About five minutes later, Pike raised her head and said her arm was hurting.
At some point she appeared to lose consciousness, but she could be heard audibly breathing until media were escorted from the witness room at 8.53pm.
An ambulance arrived at the prison at 9.14pm to take Pike to a hospital.
