Chris Pratt 'smitten' with girlfriend Katherine Schwarzenegger: Report

Chris Pratt is "smitten" with reported new girlfriend, Katherine Schwarzenegger, after a few months of seeing each other.

E! News reported this week that things between the "Guardians of the Galaxy" actor and the lifestyle blogger -- whose parents are Arnold Schwarzenegger and Maria Shriver -- are new, but headed in a promising direction, just over a week after photos of their romantic Father's Day picnic emerged online.

"It's still very new between Chris and Katherine but the picnic was not their first date," a source told E! News. "They have been on multiple low key dates and have been talking consistently for the last two months or so."

21 PHOTOS
Katherine Schwarzenegger out and about
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Katherine Schwarzenegger out and about
LOS ANGELES, CA - AUGUST 12: Author Katherine Schwarzenegger attends the 5th Annual Beautycon Festival Los Angeles at the Los Angeles Convention Center on August 12, 2017 in Los Angeles, California. (Photo by Amanda Edwards/WireImage)
LOS ANGELES, CA - OCTOBER 21: Katherine Schwarzenegger attends PETA Kids Hosts Katherine Schwarzenegger book signing and reading for 'Maverick And Me' at PETA Empathy Center on October 21, 2017 in Los Angeles, California. (Photo by Gabriel Olsen/Getty Images)
LOS ANGELES, CA - AUGUST 12: Author Katherine Schwarzenegger attends the 5th Annual Beautycon Festival Los Angeles at the Los Angeles Convention Center on August 12, 2017 in Los Angeles, California. (Photo by Amanda Edwards/WireImage)
HOLLYWOOD, CA - MARCH 15: Katherine Schwarzenegger (R) and Christina Schwarzenegger attends the premiere of Global Road Entertainment's 'Midnight Sun' at ArcLight Hollywood on March 15, 2018 in Hollywood, California. (Photo by Phillip Faraone/Getty Images)
LOS ANGELES, CA - DECEMBER 14: Katherine Schwarzenegger is seen on December 14, 2017 in Los Angeles, CA. (Photo by Hollywood To You/Star Max/GC Images)
UNIVERSAL CITY, CA - SEPTEMBER 12: Katherine Schwarzenegger visits 'Extra' at Universal Studios Hollywood on September 12, 2017 in Universal City, California. (Photo by Noel Vasquez/Getty Images)
NEW YORK, NY - JANUARY 31: Katherine Schwarzenegger shares tips for throwing the best Super Bowl party on January 31, 2017 in New York City. (Photo by Mike Pont/WireImage)
LOS ANGELES, CA - JANUARY 07: Author Katherine Schwarzenegger attends Lynn Hirschberg Celebrates W Magazine's It Girls with Stuart Weitzman at A.O.C on January 7, 2017 in Los Angeles, California. (Photo by Stefanie Keenan/Getty Images for W Magazine)
LOS ANGELES, CA - DECEMBER 03: Christopher Schwarzenegger, Maria Shriver and Katherine Schwarzenegger attend Jeff Bezos and Matt Damon's 'Manchester By The Sea' Holiday Party on December 3, 2016 in Los Angeles, California. (Photo by Todd Williamson/Getty Images for Amazon Studios)
SACRAMENTO, CA - NOVEMBER 30: (L-R) Patrick Schwarzenegger, Maria Shriver, and Katherine Schwarzenegger attend the 10th Annual California Hall of Fame Ceremony at The California Museum on November 30, 2016 in Sacramento, California. (Photo by C Flanigan/FilmMagic)
(L-R) Christine Schwarzenegger, Katherine Schwarzenegger, Maria Shriver, Christopher Schwarzenegger and Lauren Miller Rogen attend the Hilarity for Charity's 5th annual Variety show at the Palladium in Hollywood, on October 15, 2016. / AFP / CHRIS DELMAS (Photo credit should read CHRIS DELMAS/AFP/Getty Images)
LOS ANGELES, CA - OCTOBER 15: Katherine Schwarzenegger attends Hilarity for Charity's 5th Annual Los Angeles Variety Show: Seth Rogen's Halloween at Hollywood Palladium on October 15, 2016 in Los Angeles, California. (Photo by JB Lacroix/WireImage)
LOS ANGELES, CA - AUGUST 27: (L-R) Patrick Schwarzenegger, Christina Schwarzenegger, Maria Shriver, Katherine Schwarzenegger and Christopher Schwarzenegger attend The Comedy Central Roast of Rob Lowe at Sony Studios on August 27, 2016 in Los Angeles, California. (Photo by Lester Cohen/Getty Images)
WEST HOLLYWOOD, CA - AUGUST 04: Katherine Schwarzenegger hosts an Amazon Echo cooking class at AU FUDGE on August 4, 2016 in West Hollywood, California. (Photo by Rachel Murray/WireImage)
MIAMI BEACH, FL - JUNE 12: Katherine Schwarzenegger at TJMaxx for the Road To Real Tour on June 12, 2016 in Miami Beach, Florida. (Photo by Gustavo Caballero/Getty Images)
BOSTON, MA - MAY 04: Katherine Schwarzenegger attends T.J.Maxx Kicks Off the 'Road to Real,' a Nationwide Tour to Share Inspiration From Women Across the Country on May 4, 2016 in Boston, Massachusetts. (Photo by Scott Eisen/Getty Images for T.J. Maxx)
BARCELONA, SPAIN - APRIL 29: (L-R) Katherine Schwarzenegger, Marta Palatchi and Louise Roe pose during Pronovias bridal collection during the 'Barcelona Bridal Fashion Week 2016' at Italian Pavilion of Fira Barcelona on April 29, 2016 in Barcelona. (Photo by Europa Press/Europa Press via Getty Images)
BARCELONA, SPAIN - APRIL 29: Katherine Schwarzenegger poses during Pronovias bridal collection during the 'Barcelona Bridal Fashion Week 2016' at Italian Pavilion of Fira Barcelona on April 29, 2016 in Barcelona. (Photo by Europa Press/Europa Press via Getty Images)
WEST HOLLYWOOD, CA - APRIL 20: Katherine Schwarzenegger and Amanda de Cadenet attend Glamour's Game Changers Lunch hosted by Editor-in-Chief Cindi Leive & Zendaya at AU FUDGE on April 20, 2016 in West Hollywood, California. (Photo by Stefanie Keenan/Getty Images for Glamour)
LOS ANGELES, CA - MARCH 07: Author Katherine Schwarzenegger attends the renovation announcement of the Reimagined Beverly Center on March 7, 2016 in Los Angeles, California. (Photo by Donato Sardella/Getty Images)
BEVERLY HILLS, CA - JANUARY 10: Katherine Schwarzenegger arrives at the 2016 InStyle And Warner Bros. 73rd Annual Golden Globe Awards Post-Party at The Beverly Hilton Hotel on January 10, 2016 in Beverly Hills, California. (Photo by Jon Kopaloff/FilmMagic)
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The alleged couple met "through mutual friends" and "both really like each other," the source added. "Chris is smitten by Katherine and is super happy about how it's going so far."

The pair's budding romance comes months after Pratt's ex, Anna Faris, started dating cinematographer Michael Barrett. Pratt and Faris announced their shocking separation in August of 2017 and share son, Jack. 

They've both since spoken out about their desire to co-parent together as they continued to both move on from their eight-year marriage.

10 PHOTOS
Chris Pratt and his son Jack together
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Chris Pratt and his son Jack together
ANAHEIM, CA - FEBRUARY 24: Actor Chris Pratt and son Jack attend Monster Jam Celebrity Event at Angel Stadium on February 24, 2018 in Anaheim, California. (Photo by Ari Perilstein/Getty Images for Feld Entertainment)
ANAHEIM, CA - FEBRUARY 24: Actor Chris Pratt and his son Jack attends Monster Jam Celebrity Event at Angel Stadium on February 24, 2018 in Anaheim, California. (Photo by Ari Perilstein/Getty Images for Feld Entertainment)
ANAHEIM, CA - FEBRUARY 24: Actor Chris Pratt and son Jack attend Monster Jam Celebrity Event at Angel Stadium on February 24, 2018 in Anaheim, California. (Photo by Ari Perilstein/Getty Images for Feld Entertainment)
LOS ANGELES, CA - DECEMBER 06: Actor Chris Pratt and son Jack Pratt attend a basketball game between the Los Angeles Clippers and the Minnesota Timberwolves at Staples Center on December 6, 2017 in Los Angeles, California. (Photo by Allen Berezovsky/Getty Images)
LOS ANGELES, CA - DECEMBER 06: Actor Chris Pratt and son Jack Pratt attend a basketball game between the Los Angeles Clippers and the Minnesota Timberwolves at Staples Center on December 6, 2017 in Los Angeles, California. (Photo by Allen Berezovsky/Getty Images)
HOLLYWOOD, CA - APRIL 21: Actor Chris Pratt 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: Actor Chris Pratt 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, Jack Pratt and Chris Pratt attend a Ceremony Honoring Chris Pratt With Star On The Hollywood Walk Of Fame on April 21, 2017 in Hollywood, California. (Photo by Tommaso Boddi/WireImage)
SEATTLE, WA - JULY 30: Actor Chris Pratt and son Jack Pratt ride in the Seafair Torchlight Parade Grand Marshal vehicle on July 30, 2016 in Seattle, Washington. (Photo by Suzi Pratt/WireImage)
SEATTLE, WA - JULY 30: Actor Chris Pratt and son Jack Pratt ride in the Seafair Torchlight Parade Grand Marshal vehicle on July 30, 2016 in Seattle, Washington. (Photo by Suzi Pratt/WireImage)
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