The average processing time is around 4-6 months.
ESTA is an automated system that determines the eligibility of visitors to travel to the United States under the Visa Waiver Program (VWP). Authorization via ESTA does not determine whether a traveler is admissible to the United States.
Your actual refugee travel document should be issued within about 2 to 5 months from filing your Form I-131. You may request that the actual document be sent to your U.S. address, your attorneys address (if you choose to work with an attorney), or to a U.S. consulate or embassy abroad.