Katy Perry and Orlando Bloom have packed on the PDA in recent weeks, most notably during a recent vacation to Sardinia, Italy, that left little to the imagination regarding Bloom’s nether regions. The pair are clearly smitten with each other, but could a wedding proposal soon be on the way?

A source close to Bloom reportedly told PEOPLE he and Perry are “not engaged yet, but seem to be heading that way.”

Bloom — who is already father to Flynn, his five-year-old son with ex-wife Miranda Kerr -- is reportedly eager to settle down and have children with Perry.

The Lord of the Rings actor “always gushes about Katy and thinks she is amazing in a million ways. He would love to settle down with Katy and have more kids. He hasn’t been this serious about a girl since Miranda.”

But a source close to Perry notes it’ll likely be a while before the “Rise” singer agrees to that kind of commitment again, considering the way her marriage to comedian Russell Brand ended.

“Katy’s divorce from Russell really messed her up emotionally,” the source said. “She’s not going to rashly make a huge commitment like marriage again unless she thinks it’s absolutely right.”

Still, the source maintains the feelings between Perry and Bloom are mutual: “They’ve been getting along really well. Katy gives him space, and they’re both pretty independent. They are serious about each other and their relationship."

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