A day after a Theodore Roosevelt sailor died from COVID-19 complications in Guam, a second sailor from the coronavirus-stricken aircraft carrier has been moved to the ICU with shortness of breath, the Navy said Tuesday.

Also Tuesday, Defense Secretary Mark Esper said the Navy investigation into the ship’s outbreak and what led its former commanding officer, Capt. Brett Crozier, to issue a plea for help has been completed and is in the hands of the Chief of Naval Operations office. Adm. Mike Gilday will review the report and make fact and finding recommendations to Esper soon, the defense secretary said in a news conference at the Pentagon.

Esper also said he had not approved the $243,000 plane trip to Guam made by former Acting Navy Secretary Thomas Modly this month. Modly made the trip to deliver an address to the Roosevelt crew disparaging Crozier, an action that would cost him his job. Esper said he did not monitor senior officers’ trips in general but said he encouraged them to get out of the office and travel.

In an update on the health of the carrier’s crew, Esper said that 213, or about a third, of the 589 Roosevelt sailors who have tested positive have shown symptoms of infection. More than 300 sailors have either not been tested or not received their results. More than 3,900 sailors have tested negative and more than 4,000 have been moved off the ship, the Navy reported Tuesday. The Navy said it has tested 93% of the crew.

Since the Roosevelt docked in Guam on March 27, the crew of the massive, crowded warship has been attempting to fend off the virus. Crozier was dismissed for an email he sent out to several people in which he pleaded with Navy officials for more help protecting the crew. Soon after, Modly resigned after delivering his remarks aboard the ship. Since then, healthy sailors have begun 14-day quarantines in Guam hotel rooms.

Over the weekend, four sailors were hospitalized to better monitor their coronavirus symptoms, the Navy said. On Tuesday, one of those sailors was transferred to an intensive care unit “for increased observation due to shortness of breath,” the Navy said.

The Navy has yet to identify the Roosevelt crew member who died Monday. Reportedly a Navy chief in his early 40s, he was in isolation in a Guam Naval Base home with four other sailors who tested positive when he was found unresponsive on Thursday. Medical crew members and the other sailors performed CPR on him and transferred him to the base hospital. The Navy flew his wife to Guam to be with him in the days before he died.

According to the father of a Roosevelt sailor who has tested positive for the virus, conditions for the more than 300 positive sailors being held in group quarantine in a base gymnasium have improved in the past few days. Mark Blakewood, of Orange Park, Fla., said the improvements came after The Chronicle published a story and asked questions of the Navy about the conditions in the makeshift quarantine.

On Easter Sunday, sailors in quarantine who had been using their linens from the ship got fresh sheets and towels, along with a promise for Monday, Wednesday and Friday laundry service, Blakewood said. Sailors also are beginning to receive needed toiletries, he said.

“Unfortunately, it’s more reactive than proactive,” he said. “But I think the little things do help.”

Matthias Gafni is a San Francisco Chronicle staff writer. Email: matthias.gafni@sfchronicle.com Twitter: @mgafni