Asked whether the prime minister-in-waiting had a mandate to run the country without an election or even a leadership contest, Kyle said the Labour party was “managing the transition in a very functional way”.
He said Burnham would bring “a new emphasis, a new energy”.
Asked whether he would still be in the cabinet next week, Kyle said he was “realistic about the brutal nature of being in this work” and it was “part of the deal”.
He added: “Do I enjoy this? I love doing this job. Do I want to continue? Of course I do. I’m realistic about these jobs.”
Speaking at Rolls-Royce’s base in West Sussex, he said he was “determined that we get the automotive sector back up to full production”.
“I want Rolls-Royce making small modular reactors and exporting them around the world to become a world leader,” he said.
“This would reinvigorate the supply chains of the Midlands and the north of England, and we’re already doing it.”
The UK-India trade deal will see automotive tariffs cut from up to 110% to 10% under a quota in an effort to boost UK GDP by £4.8bn.
Tariffs on whiskey, gin and cosmetics will also be significantly reduced.
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