The tech tycoon – worth a staggering $140bn – also reportedly told the married TV star he was "full of love" for her and wanted to wake her up "and not be quite so gentle" with her.
In addition to shirtless photographs, he is also said to have sent Sanchez an "unsparing" photograph of his genitals which was apparently too graphic to publish.
The National Enquirer also alleges the loved-up couple held romantic rendezvous on his private jet and had sleepovers at each other's marital homes.
The world's richest man and his lover are also said to have stayed in hotels together – including one in Boston hours after the rest of his family had checked out.
It's claimed Bezos' wife MacKenzie feared an affair when she looked at his $65m Gulfstream jet's passenger list and found Sanchez's name was the only one on it.
His alleged text messages date back to April and are at the heart of claims that married Bezos, 54 — who is getting divorced — had a secret eight-month affair with Sanchez, 49.
During that time they are reported to have had a romantic liaison in a private bungalow in the Beverly Hills Hotel.
They also stayed together at the Intercontinental Hotel in Boston just after his family were in the city for his son's graduation, according to the magazine.
The allegations come as the New York post claims Sanchez was "loose lipped" about her relationship with the muscle-bound Amazon boss.
It reports sources close to the investigation say Sanchez sent the sexts to a friend to show off about her relationship – and then the pal sent them reporters at the Enquirer.
“Lauren’s over the moon (about their relationship),” said a source.
Meanwhile, another who has seen the raunchier text messages – which the Enquirer didn’t publish, but that include explicit selfies – says Bezos has more than just a big bank account.
“He’s big,” said the insider referring to the naked pic.
Earlier we revealed how the raunchy texts allegedly sent by Amazon chief Bezos to a married Sanchez told of his lust for her.
The world’s richest man reportedly told Sanchez last May: “I want to smell you, I want to breathe you in.
“I want to hold you tight. . . . I want to kiss your lips . . . I love you.”
The previous month he is said to have texted: “I love you, alive girl. I will show you with my body, and my lips and my eyes, very soon.”
Another is said to have read: "I miss you. I want to kiss you right now and tuck you in slowly and gently.
Bezos released a statement on Wednesday saying he had amicably split from MacKenzie, 48 — his wife of 25 years.
But hours later his alleged affair with ex-TV anchor and helicopter pilot Sanchez was revealed after the explicit texts were reportedly obtained by The National Enquirer.
The mag said it had seen a “cache of selfies . . . so shocking that we dare not print them”.
It claimed they include shots of the billionaire posing by a mirror with his shirt off and another just wearing a towel around his waist in a steamy bathroom.
The Enquirer also says it has a “below the belt selfie” which is “too explicit to describe in detail” showing Bezos in an “unsparing close-up”.
It claims to have viewed texts between the two in which Bezos says her “energy and ideas and competence and SPIRIT turn me on”.
In another, he reportedly said: “My heart is growing just so it can have room for you. It’s bigger than it’s ever been and still swelling.”
The magazine claimed to have tracked the pair across 40,000 miles and five states — catching them meeting for illicit trysts six times in 14 days.
Bezos was said to have issued his joint divorce statement just 48 hours after his representatives had been called by the Enquirer about its story.
The magazine is an ally of President Donald Trump — a long-time enemy of Bezos, who owns the Washington Post — fuelling speculation that the story was politically motivated.
Last night the Enquirer featured pictures of Bezos and Sanchez at Santa Monica airport on October 30, where it says they took a ride in her personal helicopter to hike up Malibu Canyon.
Bezos is said to have had his wedding ring on.
The magazine also snapped them at dinner with two pals at the Capo Restaurant in Santa Monica that night — claiming they flirted openly.
It quoted a source as saying: “She was gazing into his eyes. It did not look like a business dinner. He began whispering in her ear and she was listening and gazing at him.”
The Enquirer claimed that MacKenzie once asked her husband why Sanchez was the only passenger listed on his private jet — but he dismissed it as business related.
Bezos got to know mum-of-three Sanchez through her estranged husband Patrick Whitesell during a bash attended by Hollywood A-listers.
Patrick, 53, is a mega-agent to stars including Matt Damon, Christian Bale, Kevin Costner and Hugh Jackman.
The Enquirer alleged that Bezos first tried to woo Sanchez at the premiere of the 2016 movie Manchester by the Sea.
It claimed he whispered to her: “You can’t fight chemistry.” Sanchez — who looks remarkably similar to Bezos’s novelist wife — is said to have grown closer to the magnate after working for him.
The TV presenter, who previously hosted US series So You Think You Can Dance and morning show Good Day LA, helped shoot an aerial video for his space venture Blue Origin.
The Enquirer said that in recent months the pair enjoyed rides in private jets, limos and helicopters — spending time on romantic hikes, and dinner dates.
It says they even spent “quality time in hidden love nests.”
However, both insist they did not cheat on their respective partners.
Sanchez, who has had small roles in films Fight Club and Ted 2, was publicly seen alongside the online retail mogul at Amazon’s Golden Globes party on Sunday.
Bezos released a statement on Twitter yesterday revealing that he and his wife had spent time apart during a trial separation.
It was not clear when the separation started, but it is thought he was first seen in public with Sanchez at a nightclub in October.
A source said: “Patrick and Lauren Sanchez have been separated for a while.
“Their marriage has been off and on for a while and they tried hard to fix things.” The couple got married in 2005.
Bezos and MacKenzie have four children aged between 13 and 18 — three biological sons and a daughter they adopted from China.
A lawyer representing Bezos told the Enquirer that it was “widely known” he and wife MacKenzie had been “long separated”.
Amazon’s vice president of corporate communications said last night: “Jeff remains focused on and engaged in all aspects of Amazon.”
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