Chitetsu Watanabe is reported to have died at the age of 112 in Japan on Sunday just days after claiming his Guinness World Record certificate.
The position is now held by Mr Weighton, from Alton, Hampshire, who was born in Hull on March 29 1908.
"I just accept it as a fact, it's not something I ever intended, wanted or worked for but it's just one of those facts of life.
"You might find it amazing but it's just one of those things."
Mr Weighton, who turns 112 next month, was formerly England's oldest man but became Britain's oldest after Scotland's oldest man, Alfred Smith, from St Madoes, Perthshire, who shared the same birthday with him, died last summer.