With Father's Day celebrations set to take place in the UK on June 16, word has it Harry and Meghan will share more photo's of their little one to mark the special occasion.
It's believed the couple will release the image on Instagram.
Last month, Meghan, 37, shared an adorable photo of Archie's tiny feet on Mother's Day.
"Paying tribute to all mothers today - past, present, mothers-to-be, and those lost but forever remembered," the former actress captioned it.
"We honour and celebrate each and every one of you."
This year will also be Harry's first Father's Day.
"Parenting is amazing," the Prince said as he and Meghan posed for photos with their newborn on May 8 at St George's Hall in Windsor.
"We're just so thrilled to have our own little bundle of joy and be able to spend some precious time with him as he slowly, slowly starts to grow up."
Meghan added: "It's magic, it's pretty amazing. I have the two best guys in the world so I'm really happy," she gushed.
"He has the sweetest temperament, he's really calm."
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