The Kardashians

There may be a little nip in the air at the American Music Awards Sunday ... TMZ has learned Kendall Jenner will be presenting.

The gig comes on the heels of the 18-year-old's very adult Instagram photo.

We're told she'll be presenting Best Pop Rock album, and get this -- the nominees are Justin Timberlake, Taylor Swift and One Direction. As you know, Kendall was out with Harry Styles this week -- so advantage 1D.

This is Kendall's first time making a big appearance without the Kardashian brood.

Lamar Odom's drug problem is only getting worse -- at least that's how it looks in this video, shot this month and obtained by TMZ, showing Lamar incoherently rapping without his shirt on ... talking about drugs, making money without the NBA, and cheating on Khloe Kardashian.

Lamar appears out of it, rapping about making money off his fragrance "Unbreakable," and how he smokes drugs to make "the pain go away." He even drops Kanye's name.

But the crazy part -- Lamar raps, "And when Khloe's out of town / I still be on the DL." His friend then follows up, "You know what it is / We the QU [Queens] pimps / Ask any of these shorties / We ran through their cribs."

Translation: when Khloe's away, Lamar will play.

As we reported, Lamar's currently training hard in Rhode Island, trying to get his ass back in shape for the NBA -- but drugs are still obviously a big part of his life.

Khloe Kardashian is returning fire after her ex-stepmom sued her for defamation -- claiming the woman married her dying father at his weakest moment ... when he could barely stand on his own two feet.

Khloe filed the declaration in Ellen Pearson's lawsuit, describing her experience during Ellen and Robert Kardashian's 2003 wedding ... back when Khloe was just 19.

Khloe says her dad was extremely ill at the ceremony, suffering from severe mental, emotional and physical fatigue, unaware of his surroundings. She says her dad's mental state had been "compromised" due to his stage IV esophageal cancer.

It was so bad ... Khloe claims, "Several ceremony guests assisted my father from his bedroom to the couch and helped to sit him up straight for the ceremony, which took place at my father's couch." Khloe says her dad could only stand for a few minutes.

It's the latest shot fired in the endless legal war between Ellen and the Kardashian family, a fight that also involves Robert Kardashian's diaries ... which allegedly describe Kris Jenner as an abusive mom.

Lindsay Lohan and Kim Kardashian were both in the SAME ROOM last night ... along with 19,000 other people ... 'cause they were both at the Barclays Center for the Kanye West concert in Brooklyn.

In fact, all sorts of big stars showed up to Kanye's big show in Brooklyn -- Carmelo Anthony's wife La La Anthony, fashion powerhouse Anna Wintour, LiLo, Kim (her BFF Jonathan Cheban) and, of course, Kris Jenner.

British model Cara Delevingne was also at the show.

Kendall Jenner doesn't need a bra ... because her own father fully supports her breasts.

Sources close to Bruce Jenner tell TMZ, he 100% backs his 18-year-old daughter's decision Tuesday to expose her nipples on Instagram. As far as he's concerned, she's a fashion model ... and that's what fashion models do.

Soon after Kendall posted the pic for her 7 million followers, Bruce began defending his daughter ... saying she's a "wonderful kid and a great daughter" ... and insisting he's proud of her no matter what she does.

Just so we're all clear ... Kendall turned 18 on November 3rd. We're proud of her too.

After only 16 days since her 18th birthday … Kendall Jenner decided to give the world a glimpse of her nipples … leaving everyone wondering ... what took so long?

Now here's the question ... does it all end with nipples, or will Kendall walk the path forged by her older sister, with the helping **** of Ray J?

And while we're at it ... we gotta ask ...

Kanye West is slapping a ban on President Obama ... or at least all conversations about him as retaliation for the Prez calling Yeezy a "jackass."

Kanye's latest rant aired this morning on 107.9 FM in Philly. The hosts asked him about Obama's infamous comment ... and Kanye angrily responded, "I don't care if your're the president. I bring joy to people."

Kanye goes on to explain why he won't be talking about that guy in the White House anymore. Watch the tirade .. It's definitely arrogant, but also a little funny.

Kanye added that Obama better not talk about Kim Kardashian either, saying ... he "shouldn't mention my baby mama name, 'cause we both from Chicago."

As if Beats by Dr. Dre didn't earn him enough money last year ... Kim Kardashian and Kanye West are gearing up to line Dre's pockets even more, because Dre owns the Calabasas mega-property the couple is seriously thinking about buying.

TMZ broke the story ... Kim and Kanye have got their eyes on a massive plot of land tucked away in a secluded section of Calabasas, and are considering buying it and then building an enormous, super-private mansion.

The couple already owns an $11 million mansion nearby in Bel Air -- still under construction -- but now they're concerned it's too exposed ... so they're thinking about selling it and buying the lot.

And now for the crazy coincidence -- we've learned the 6-acre plot is owned by hip hop mega-producer Dr. Dre, which he purchased last year for roughly $10.5 million. We're told the land is now worth between $11-12 million.

FYI, Dre is worth a reported $360 million. Kim and Kanye's reported net worth combined isn't even half that. Dre reportedly raked in $110 million last year alone ... largely from Beats by Dre.

Lamar Odom just confirmed to TMZ ... discussions are underway for a return to the team he loved -- the L.A. Clippers.

We got Lamar at LAX about an hour ago ... and he made it clear something is going on between him and the team.

Coach Doc Rivers said he met with Lamar Friday to have a chit chat and there is a buzz that serious negotiations are underway.

Kim Kardashian and Kanye West have it rough -- their giant Bel-Air mansion just isn't enough house for 'em. So, they're looking into a much bigger, fancier ... mound of dirt.

We suspect a house with a moat and drawbridge might be built on the dirt eventually.

Kanye West hopping aboard an early morning, cross country flight to get his daughter to a doctor's appointment proves one thing -- he's no Charles Lindbergh!

Never thought you'd see Yeezy compared to C-Lindy, did ya? Life is strange sometimes.

Kim Kardashian was just pulled over on an L.A. freeway -- and it caused total pandemonium.

Law enforcement sources tell TMZ, Kim was pulled over for speeding while trying to evade multiple cars driven by paparazzi (not TMZ).

According to sources, the paps (roughly 5 cars total) had been chasing after Kim, and once she was pulled over, they jumped out of their cars IN THE MIDDLE OF THE FREEWAY to snap photos of Kim in her car ... resulting in tons of traffic.

We're told a paparazzi helicopter was even hovering overhead.

And police are PISSED -- our law enforcement sources are saying the paps endangered multiple lives with their risky photography, including Kim's, other drivers on the road, and the officers involved.

We're told the California Highway Patrol cited one photog for speeding and the rest got away. According to sources, the CHP is now looking into the incident further to see if the case can be sent for further prosecution. As one source said, "They're not getting away with this."

A video has just surfaced showing a man purported to be Kanye West fist fighting like a champion ... knocking 2 guys out cold. If it's Kanye it could be disastrous in his upcoming criminal case because prosecutors want to show he's violent by nature -- HOWEVER....

TMZ has confirmed ... the fighter is NOT Kanye. The video was shot in Austin, TX and Mr. Kardashian wasn't there at the time this hit the Internet.

Our Kanye sources say he's aware of the video and laughed, saying if it were really him, he'd be in jail for sure.

Lamar Odom has a savior ... and it turns out it's the other guy in the Kardashian house who left the Klan ... Bruce Jenner.

Sources connected to both Bruce and Lamar tell TMZ ... Lamar has been spending a lot of time with Bruce at his new home in Malibu. They spend hours together during which Bruce counsels Lamar on various life issues, including how to stay clean and whose company he should and shouldn't be keeping.

Bruce is telling confidantes Lamar is CLEAN -- free of drugs and alcohol.

We're told Bruce feels he's a positive influence on Lamar and can make a huge difference in his life. Bruce has told friends he loves Lamar and thinks he's a "good soul."

As Bruce told one friend, "Everybody's got s**t in their life and they need to learn how to deal with it. Lamar didn't deal with his very well."

Bruce is also telling friends ... Lamar is working out constantly and has not given up on his dream to return to the NBA.

Kanye West clearly has new priorities ... leaving an epic birthday party for Leo DiCaprio in NYC and flying all night back to L.A. for North West's doctor's appointment.

We're told Kanye and Kim landed just before 6 AM ... and rushed home where Kanye picked up Nori and headed to the doctor's office in Bev Hills. FYI ... guess who didn't go? Mama K was otherwise engaged.

The kid's fine. It was just a routine baby visit.

Maybe it'll impress the judge in the assault case.