The 32-year-old country star and East have already met each other's family, reported E! online.
"They both have discussed wanting kids one day. When they are both not on tour, they are with each other. They video chat or text and keep connected every day," a source said.
The "Over You" hitmaker is "definitely" in love with her new man and the two have gotten even closer.
A"They both are very into helping make a difference. Miranda is definitely in love with Anderson," the source added.