Robert Roberson, the Texas death row inmate whose execution in a strongly disputed shaken baby murder case was postponed last week, is scheduled to testify on Monday before a committee of the State House.

A subpoena for his testimony, issued in a novel last-minute legal maneuver, halted his execution just before it was set to be carried out on Thursday evening. The Texas Supreme Court ruled that by issuing the subpoena, a bipartisan group of Texas House members had raised legal questions about the separation of powers that needed to be resolved.

The Texas House and Mr. Roberson’s lawyers had hoped he would appear in person before the Legislature’s committee on jurisprudence. But over the weekend, the office of the Texas attorney general, Ken Paxton, representing the Department of Criminal Justice, stepped in and said that, “in the interest of public safety,” Mr. Roberson would only be made available by video conference from prison.

The Texas Supreme Court ruled on Sunday that as long as Mr. Roberson was able to give testimony in response to the subpoena, it would not involve itself in the dispute over how he would testify. So Mr. Roberson’s appearance seemed likely to take place by video conference, aides to the Texas House said, though negotiations over the matter were continuing.

Mr. Roberson’s lawyers have argued that his autism, which was diagnosed after the murder conviction, would make any attempt to judge his credibility by video conference “profoundly limited.” And they said that having him appear remotely without his lawyers by his side would deprive Mr. Roberson of access to counsel during the questioning.

Mr. Roberson’s case has drawn extensive national attention. A broad range of supporters — including a majority of the Republican-controlled Texas House, the novelist John Grisham and the detective who helped convict Mr. Roberson — have raised questions about the conviction, which relied in part on a finding of shaken baby syndrome.

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