Delevingne and Rodriguez have become inseparable over the past few weeks and are now house hunting in the UK for their own place, reported Femalefirst.
"They love spending time with one another so moving in is a no-brainer. Splitting their time between London and LA would suit both of them. Cara's family have met Michelle and think she's great," a source said.
Rodriguez, 35, and 21-year-old Delevingne first sparked rumours they were dating after they were spotted cuddling up to each other while watching the New York Knicks defeat the Detroit Pistons at Madison Square Garden at the beginning of the month.
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