Chris Pratt and Katherine Schwarzenegger are 'casually dating,' have 'hit it off' (Exclusive)

Chris Pratt and Katherine Schwarzenegger are enjoying the dating stage, a source tells ET.

Pratt and Schwarzenegger -- the 28-year-old daughter of Arnold Schwarzenegger and Maria Shriver -- were snapped on a picnic together last month in Santa Barbara, California, both smiling big and clearly enjoying themselves. Our source says the two have been "casually dating" after being introduced by Shriver.

"Katherine and Chris have been on a few dates," the source says. "The two really enjoy their time together, but it's still in the early stages. Chris was introduced to Katherine by one of her family members and the two hit it off."

"Chris is focused on the press of his movie and his son Jack, but when he does get some free time, he spends it with Katherine," the source adds.

Pratt shares Jack with actress Anna Faris, whom he split from last August. The source says that the 39-year-old Jurassic World star is taking his time when it comes to his budding relationship with Schwarzenegger.

"Chris and Anna split about a year ago, and Chris wants to move slow," the source says. "He's in no rush for a relationship."

Meanwhile, despite her famous parents, Schwarzenegger has largely stayed out of the spotlight growing up. For six things to know about the private brunette, watch the video below:

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Chris Pratt and Anna Faris through the years
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Chris Pratt and Anna Faris through the years
LOS ANGELES, CA - OCTOBER 18: Actors and husband and wife Chris Pratt (L) and Anna Faris attend the 7th annual Best In Drag Show at the Orpheum Theatre on October 18, 2009 in Los Angeles, California. (Photo by David Livingston/Getty Images)
LOS ANGELES, CA - SEPTEMBER 16: Chris Pratt and Anna Faris at The Lollipop Theater Network's Game Day 2009 Sneak Peek Event held at The Home of Janet Crown on September 16, 2008 in Los Angeles, California. (Photo by Alexandra Wyman/WireImage)
LOS ANGELES, CA - OCTOBER 18: Actor Chris Pratt and actress Anna Faris attend Aid For AIDS' 7th annual 'Best In Drag' show at the Orpheum Theatre on October 18, 2009 in Los Angeles, California. (Photo by Jason LaVeris/FilmMagic)
BEVERLY HILLS, CA - AUGUST 11: Actor Chris Pratt and actress Anna Faris attend the Malibu And Reef Check Partnership summer pool party at Malibu Reef Check Estate on August 11, 2009 in Beverly Hills, California. (Photo by Jason LaVeris/FilmMagic)
HOLLYWOOD, CA - APRIL 9: Chris Pratt and Anna Faris attend Kahlua Celebrates The Premiere Episode Of 'Parks & Recreation' at MyHouse on April 9, 2009 in Hollywood, California. (Photo by ANDREAS BRANCH/Patrick McMullan via Getty Images)
LOS ANGELES, CA - NOVEMBER 17: Actor Chris Pratt (L) and Actress Anna Faris attends the GQ 2010 'Men of the Year' held at Chateau Marmont on November 17, 2010 in Los Angeles, California. (Photo by Michael Buckner/Getty Images for GQ)
LOS ANGELES, CA - APRIL 09: Actor Chris Pratt (L) and actress Anna Faris arrive at the premiere of NBC's 'Parks & Recreation' at My House on April 9, 2009 in Los Angeles, California. (Photo by Michael Buckner/Getty Images)
LOS ANGELES, CA - OCTOBER 24: Actress Anna Faris arrives with husband Chris Pratt at the 8th Annual 'Best In Drag Show' beauty pageant at the Orpheum Theater on October 24, 2010 in Los Angeles, California. (Photo by Michael Tullberg/Getty Images)
Actor Chris Pratt (L) and Actress Anna Faris arrives at the GQ 2010 'Men of the Year' held at Chateau Marmont on November 17, 2010 in Los Angeles, California.
Anna Faris and Chris Pratt arrive at the launch of Target's & William Rast's Limited Edition Collection shopping event at Factory Place on December 11, 2010 in Los Angeles, California. (Photo by Jean Baptiste Lacroix/WireImage)
Anna Faris and Chris Pratt arrive at The International Women's Media Foundation's 'Courage In Journalism' awards held at Beverly Hills Hotel on October 21, 2010 in Beverly Hills, California.
LOS ANGELES, CA - SEPTEMBER 18: Actress Anna Faris and actor Chris Pratt arrive at the 63rd Primetime Emmy Awards held at Nokia Theatre L.A. Live on September 18, 2011 in Los Angeles, California. (Photo by Barry King/FilmMagic)
TORONTO, ON - SEPTEMBER 09: Actors Anna Faris (L) and Chris Pratt arrive at the 'Moneyball' Premiere at Roy Thomson Hall during the 2011 Toronto International Film Festival on September 9, 2011 in Toronto, Canada. (Photo by George Pimentel/WireImage)
LOS ANGELES, CA - MARCH 02: Actors Chris Pratt (L) and Anna Faris pose at the after party for the premiere of Relativity Media's 'Take Me Home Tonight' at the Conga Room on March 2, 2011 in Los Angeles, California. (Photo by Kevin Winter/Getty Images)
HOLLYWOOD, CA - DECEMBER 10: Actors Anna Faris and Chris Pratt attend the 'Zero Dark Thirty' Los Angeles Premiere- After Party at Dolby Theatre on December 10, 2012 in Hollywood, California. (Photo by Lester Cohen/WireImage)
HOLLYWOOD, CA - OCTOBER 20: Actor Chris Pratt and actress Anna Faris attend the 2nd annual Reel Stories, Real Lives benefiting the Motion Picture & Television Fund at Milk Studios on October 20, 2012 in Hollywood, California. (Photo by Jason LaVeris/FilmMagic)
LOS ANGELES, CA - SEPTEMBER 19: Anna Faris and Chris Pratt are seen on September 19, 2012 in Los Angeles, California. (Photo by Bauer-Griffin/GC Images)
TOP CHEF -- 'Even the Famous Come Home' Episode 1006 -- Pictured: (l-r) Guest judges Chris Pratt, Anna Faris -- (Photo by: David Moir/Bravo/NBCU Photo Bank via Getty Images)
HOLLYWOOD, CA - FEBRUARY 26: Actress Anna Faris (L) and Actress Chris Pratt arrive at the 84th Annual Academy Awards held at the Hollywood & Highland Center on February 26, 2012 in Hollywood, California. (Photo by Lester Cohen/WireImage)
LOS ANGELES, CA - OCTOBER 29: Chris Pratt (L) and Anna Faris attend a basketball game between the Los Angeles Clippers and the Los Angeles Lakers at Staples Center on October 29, 2013 in Los Angeles, California. (Photo by Noel Vasquez/Getty Images)
LAS VEGAS, NV - SEPTEMBER 20: Anna Faris, Chris Pratt poses in the 2014 iHeartRadio Music Festival - Night 2 - Press Room at MGM Grand Garden Arena on September 20, 2014 in Las Vegas, Nevada. (Photo by Steve Granitz/WireImage)
HOLLYWOOD, CA - JULY 21: Actors Chris Pratt and Anna Faris arrive at the Los Angeles premiere of 'Guardians Of The Galaxy' at the El Capitan Theatre on July 21, 2014 in Hollywood, California. (Photo by Axelle/Bauer-Griffin/FilmMagic)
Actress Anna Faris and actor Chris Pratt (R) attend the world premiere of 'Guardians Of The Galaxy' on July 21, 2014 at the Dolby Theater in Hollywood, California. AFP PHOTO / Robyn Beck (Photo credit should read ROBYN BECK/AFP/Getty Images)
HOLLYWOOD, CA - JUNE 09: Actress Anna Faris (L) and actor Chris Pratt arrive at the 'Jurassic World' - World Premiere at Dolby Theatre on June 9, 2015 in Hollywood, California.(Photo by Jeffrey Mayer/WireImage)
HOLLYWOOD, CA - JUNE 09: Anna Faris and Chris Pratt arrives at the 'Jurassic World' - World Premiere at Dolby Theatre on June 9, 2015 in Hollywood, California. (Photo by Steve Granitz/WireImage)
Actors Anna Faris and Chris Pratt arrive at the 72nd Annual Golden Globe Awards held at the beverly Hilton Hotel. (Photo by Frank Trapper/Corbis via Getty Images)
WESTWOOD, CA - DECEMBER 14: Actor Chris Pratt and actress/wife Anna Faris arrive for the Premiere Of Columbia Pictures' 'Passengers' held at Regency Village Theatre on December 14, 2016 in Westwood, California. (Photo by Albert L. Ortega/Getty Images)
WESTWOOD, CA - DECEMBER 14: Actors Anna Faris (L) and Chris Pratt attend the premiere of Columbia Pictures' 'Passengers' at Regency Village Theatre on December 14, 2016 in Westwood, California. (Photo by Matt Winkelmeyer/Getty Images)
HOLLYWOOD, CA - APRIL 19: Actor Chris Pratt (L) and actress Anna Faris arrive at the Premiere Of Disney And Marvel's 'Guardians Of The Galaxy Vol. 2' at Dolby Theatre on April 19, 2017 in Hollywood, California. (Photo by Jeffrey Mayer/WireImage)
LONDON, ENGLAND - APRIL 24: Chris Pratt and Anna Faris attend the European Gala Screening of 'Guardians of the Galaxy Vol. 2' at Eventim Apollo on April 24, 2017 in London, United Kingdom. (Photo by Samir Hussein/WireImage)
HOLLYWOOD, CA - APRIL 21: Anna Faris and Chris Pratt attend the ceremony honoring Chris Pratt with a Star on The Hollywood Walk of Fame held on April 21, 2017 in Hollywood, California. (Photo by Michael Tran/FilmMagic)
HOLLYWOOD, CA - APRIL 21: Actor Chris Pratt, wife Anna Faris and son Jack Pratt attend the ceremony honoring Chris Pratt with a star on the Hollywood Walk of Fame on April 21, 2017 in Hollywood, California. (Photo by Axelle/Bauer-Griffin/FilmMagic)
HOLLYWOOD, CA - APRIL 21: Anna Faris and Chris Pratt attend the ceremony honoring Chris Pratt with a Star on The Hollywood Walk of Fame held on April 21, 2017 in Hollywood, California. (Photo by Michael Tran/FilmMagic)
HOLLYWOOD, CA - APRIL 19: Chris Pratt, Anna Faris arrives at the Premiere Of Disney And Marvel's 'Guardians Of The Galaxy Vol. 2' at Dolby Theatre on April 19, 2017 in Hollywood, California. (Photo by Steve Granitz/WireImage)
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