"Enjoy it. Enjoy it while you can", he added.
Rife advised Davidson to be cautious in his interview with the outlet.
He told the publication: "We dated for a year...it was complicated". A lot of ups and downs but she's moved on and I'm happy.
Kate - who has 20-year-old daughter Lily with former partner Michael Sheen - recently admitted she likes the idea of having another child in the future.
"Dear heavens, Kate. Not Pete Davidson", one follower commented.
Beckinsale first met the Rife in 2017, after she had split from ex Len Wiseman after 12 years of marriage.
After they ended things, Pete started going out with none other than Kate Beckinsale! "I hope they're happy". I don't really have any solid advice.
The two were spotted together again in September 2018 with another friend while attending a comedy show in Los Angeles.
The meme labeled Beckinsale as "me", Davidson as "guys with problems from childhood who I can "fix" and Porowski as "wholesome guys with good paying jobs who text back and have no baggage".
Beckinsale and Davidson, 25, seemed to confirm dating rumors on Sunday when they were pictured making out in Madison Square Garden during the hockey game between the New York Rangers and Washington Capitals.
In response, the "Underworld" star wrote, "Antoni is gay, if that helps clarify at all #queereye".
And again, if you've been living under a rock for the past year, Antoni isn't just any random guy-he's the American treasure who now stars in Netflix's smash hit Queer Eye.