Dic: grow into

1. to develop over time and become a particular kind of person or thing

• Sue grew into a lovely young woman.
• The two-part show has grown into a full-fledged series.

2. to gradually learn how to do a job or deal with a situation successfully

• She will grow into her new role over the next few months.

3. if a child grows into clothes, he or she becomes big enough to wear them

• It's a bit big, but she'll soon grow into it.

... LDOCE, COBUILD