Becks' social media post includes a poignant silent clip of him and the late Sven-Goran Eriksson, 76, strolling, chatting, and laughing together at what seems to be Eriksson's home in Sunne, though the date is not specified.
He shared the tribute after the football icon's family announced his passing earlier today, following a battle with pancreatic cancer.
Beckham wrote: "We shared laughter and tears, and we knew it was time to say goodbye."
"I will always be grateful for the honor of being your captain, but I will cherish these final memories of this day spent with you and your family forever."
"Thank you, Sven. I will always remember your final words to me: 'It will be okay.'"
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David Beckham and Sven-Goran Eriksson were featured together in a post Beckham shared on Instagram earlier this evening.
Svennis, as he is affectionately known in Sweden, disclosed in January that he had been diagnosed with pancreatic cancer and was given no more than a year to live. Despite this, he earned praise for his inspiring and optimistic approach to his diagnosis, encouraging others to embrace life to the fullest.
Earlier this year, he told MailOnline that Beckham was one of the people he had spoken to after revealing his cancer diagnosis in a Swedish radio interview.
He said: "It's been truly overwhelming. The phone hasn't stopped ringing since the radio interview aired. I'm astonished by all the support—I never expected such a reaction."
"To be honest, the broadcast was supposed to air on Sunday, but it went out earlier, and that's alright. There's nothing I can do about it now, but I've received so many calls constantly, and it's been nice."
"I’ve spoken with David Beckham—I'll keep what he said private, but it was very kind of him to reach out. We talk occasionally, every few months. I also heard from Roberto Mancini.
I've received messages from people who were with the Football Association during my time there, and Wayne Rooney's agent also reached out. Additionally, I've had unexpected calls from people I hadn't heard from in years, which has been surprising."
In a Prime Video documentary released just days before his death, Sven opened up about the highs and lows of his life, including how he was handling his cancer diagnosis.
He said: "It was a shock. It's one of those things that won't go away.
"But hopefully, you can slow it down. I don't have any pain, but I know it's there."
"One day it will catch up with you. Until then, live fully instead of dwelling on what and when it might happen."
This is a developing story—more updates to come.