Hilary's stylist Jessica Paster also hinted at the ceremony.
Writing on Instagram, she shared: "Winter solstice ... a day of luv. (sic)"
Hilary and Matthew announced their engagement back in May.
The 'Younger' star posted pictures of herself showing off her engagement ring on Instagram, and wrote: "He asked me to be his wife."
Matthew also posted the same images on his own Instagram account, alongside the caption: "I asked my best friend to marry me... @hilaryduff (sic)"
However, the couple - who share Banks, 13 months - were recently forced to deny they had already tied the knot back in November 2019.
She said: "No, we are not secretly married, but we are basically married, so you know, sometimes those little things slip out."
And the blonde beauty's parents would be annoyed if they went off and eloped.
The actress - who also has Luca, seven, with ex Mike Comrie - admitted: "We're really excited and we're torn between, 'Are we just going to go to the chapel and do it?' or 'Are we going to have a little more thought put into it?' I think our families would kill us [if we eloped]. And we want the kids to be involved."