After last night's Impact Wrestling tapings, Jeremy Borash announced that they did not know when they will be back to tape future editions of Impact.
Dixie Carter also confirmed this on Twitter, stating that they will be "headed to NYC for a while." She also mentioned that there was nothing on the books for TNA to return to Universal Studios.
Impact episodes are currently taped up until June 12th, which is right before TNA Slammiversary. They have a live Impact taping in Bethlehem, Pennsylvania in the middle of June, which is likely going to have more than one episode being filmed.
After this, there will be TNA tapings in New York City, which will carry the company through August.