While in character, the 34-year-old Black Panther star snapped photos with a large-lens camera while wearing a grey crewneck Army sweatshirt teamed with classic blue jeans.
Shooting an outdoor picnic scene in Manhattan, Jordan was seen chatting with Washington in between takes. The duo both wore black face coverings while the cameras were down to keep the set as safe as possible from the coronavirus.
The highly anticipated film is based on Dana Canedy's 2008 memoir, A Journal For Jordan: A Story of Love and Honor. The best-selling book grew out of an essay she wrote for The New York Times about the death of her fiancé, United States Army First Sergeant Charles Monroe King, in the Iraq War and the 200-page journal he left for their son.
The 48-year-old soldier, whom Jordan portrays in the film, was killed in Baghdad in October 2006, one month shy of finishing his tour of duty. He had left for the Middle East before his son was born.
In a 2009 interview, Canedy said: "I needed to do something with my grief, after Charles died, something productive."
Journal for Jordan, which began production back in December, will also star Chanté Adams, Robert Wisdom, Johnny M. Wu, Jalon Christian and Tamara Tunie.
The film script was written by Virgil Williams, who received a nomination for the Academy Award for Best Adapted Screenplay in 2018 for co-writing the film Mudbound.