January 02, 2017 10:52 AM

Is he on the way?

Peta Murgatroyd and fiancé Maksim Chmerkovskiy are seemingly about to welcome their son into the world, judging from a photo Chmerkovskiy posted on Instagram Monday morning.

“But first … a little make up,” he wrote next to a photo of Murgatroyd, 30, applying mascara from her hospital bed.

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An hour earlier, the dad-to-be, 36, posted a caption- and audio-free video of what seemed to be the couple driving to the hospital, either late at night or in the early-morning hours, judging from the inky sky outside and street lamps they passed while zipping down Park Avenue in N.Y.C.

“I come from a dirt broke family. I just started to be able to afford things in 2005 when [Dancing with the Stars] started,” Chmerkovskiy told PEOPLE in October about taking paternity leave. “For me to be able to take time off in this way … [to have] what we have to enjoy and be proud of, that’s anybody’s dream.”

Added Chmerkovskiy, who will not be returning for the show’s 24th season, “I’m doing exactly what I set out to do. That’s why I worked my butt off.”

Today is their son‘s due date. This will be the first child for the engaged couple, who plan to tie the knot this year.

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