The couple, who met on the set of 'The Amazing Spiderman', are both set to reprise their roles in the soon to be filmed sequel.
Stone is eager to focus on her career and is trying to take their relationship slowly, reported Us magazine.
"There's no rush to get engaged. They are both young and ambitious. They just love spending time together. They are absolutely adorable together. They both seem to have their heads on straight. They are the most normal couple I have seen," a source said.