Scarlett Johansson living with Sean Penn?

Scarlett Johansson’s romance with Sean Penn is really hotting up!

According to Us Weekly magazine, the actress has moved in to Penn’s $3.8 million Malibu home.

“Scarlett has essentially moved in over the last few weeks,” a source said.

“They just stay home whenever they can.”

Johansson and Ryan Reynolds, 34,split in December after two years of marriage. In August of 2009, Robin Wright, 44, filed for divorce from Penn. The couple had been married 13 years.

Scarlett and Sean were first linked last month.

“Scarlett first reached to Sean when she was planning to visit Haiti with Oxfam,” a source told Us Weekly magazine.

“She knew Sean was living there in a tent and turned to him for advice.

“Scarlett’s smitten with him.”