The crash in SC involved an F-35B, which is able to land vertically and costs around $100m (£75m).
Mr DellaVedova added that if "known good" tubes are already in place, then those planes will be returned to operational status.
It is an embarrassing development for the F-35 programme, the largest and most expensive weapons project of its type in the world.
The entire fleet of F-35 fighter jets has been grounded to inspect the aircraft for suspected faulty fuel tubes, the USA military said.
According to a source at Lockheed Martin, the inspections are not expected to significantly impact delivery or production of the jets.
A US official says only half the current fleet of aircraft have the fuel tube, but inspections will be carried out on the entire USA fleet. The Air Force has 156, the Marine Corps has 61 and the Navy has 28.
As a result of an initial investigation, the 245 F-35s being used in the U.S. Air Force, Navy and Marine Corps will be grounded in an operational pause so inspections can be carried out to see if "a suspect fuel tube" in the plane's engine has been installed.
On September 28, a Marine Corps F-35 crashed in SC. The pilot safely ejected.
The F-35 program is expected to cost the Pentagon about $406 billion for 2,456 fighter jets that the services intend to buy, according to the Joint Program Office. Mat Winter, director of the F-35 Joint Program Office, told reporters back in March.
Military officials said the inspections ordered this week are to help prevent any future incidents. Mission capable rates now hover between 49 and 71 percent, according to Defense News, which first reported the order.
"We will take every measure to ensure safe operations while we deliver, sustain and modernise the F-35 for the warfighter and our defence partners".
The three USA armed services and global militaries flying the single-engine F-35 all made the decision Thursday to temporarily halt flights while investigators conduct a fleetwide inspection for a faulty part-a fuel tube within the engine-according to Joe Dellavedova, a spokesman for the F-35 Joint Program Office.
"F-35 flight trials from the aircraft carrier HMS Queen Elizabeth are continuing and the program remains on schedule to provide our armed forces with a game-changing capability", a British defense ministry spokesman said. F-35s have already been delivered to the United Kingdom, Italy, Israel, Netherlands, Turkey, Australia, Japan, South Korea and Norway.