The chart-topping record launched the former soldier to instant recognition in 2004, when the hit songs Goodbye My Lover and You're Beautiful were released.
He re-released it as a 20th Anniversary Edition on October 11, and promised he will change his name to what his fans decide if it tops the charts on Friday.
Blunt told ITV's Good Morning Britain that people in their "great wisdom and kindness" have chosen Blunty McBluntface - a parody of Boaty McBoatface which went viral after a campaign to find a name for the UK's polar research ship in 2016.
"The people I pity more is my family," he said.
"I feel it was stupid of me, really, to offer to change my name if you got to number one because of the consequences.
"I feel though that the British public, they will would have to live with the shame of... going out and buying and owning a James Blunt CD, (it) might be a deterrent enough."
Blunt said he is "praying" that Back To Bedlam's new edition enters the charts at number two.
He added: "I explained to my wife she would be Sofia McBluntface and she's seized on the opportunity to say she would change her name back to her maiden name (Wellesley)."
Blunt also joked that he needs to "milk this one for all it's worth on the 20th anniversary" as it is the album his fans actually bought.
The Old Harrovian and ex-member of the Household Cavalry's first album received five Grammy nominations, including song of the year for You're Beautiful and best new artist for Blunt, and two Ivor Novello Awards, including international hit of the year for the same song.
In 2022, Back To Bedlam was named the UK's second biggest debut album by the Official Charts Company.
You may also like
Seven of family killed in car accident in Telangana's Medak; CM expresses grief
Spain reach Nations League quarters, Ronaldo's Portugal held by Scotland
Former AAP MLA Kartar Singh Tanwar moves to HC challenging his disqualification from Assembly
Daniel Levy agrees to meeting as Tottenham fans given hope on 'misguided' ticket price plan
National Lottery winner urged to come forward with winning £3.6million Set for Life ticket
Odisha Police busts fake call centre in Bhubaneswar, six held
Prince William issues defiant message to critics as he's quizzed in new ITV documentary
Renukaswamy murder case: Actor Darshan submits plea in Karnataka HC seeking bail
Keir Starmer has given huge clue on what fishing rights he'd give away to EU
Fishermen warn Keir Starmer industry will 'collapse' as he won't rule out Brexit betrayal
Brexit fishing betrayal is even worse than it already seems for this simple reason
Thomas Tuchel's awkward meeting with England star as German is announced
Keir Starmer is desperate for one thing - and it will terrify fishing communities
Xbox Partner Preview showcase start time, how to watch and everything announced so far
Nigella Lawson's 'game changing' hack for using leftover tomatoes - and people can't get enough
Arsenal ticket storm goes on but Emirates Stadium redevelopment hint offers new hope
How Chelsea have handled 'irreversible toxicity' ticket price warning amid Stamford Bridge plans
The Office Australia: All there is to know about watching the spin-off in the UK
'Action On Encroachments Abutting Arabian Sea', Gujarat To SC Denying Illegal Bulldozer Action
Provide Rs 1000 honorarium to economically weak volunteers who assist in flood relief: TN BJP