Miniature Rose 'Innocence'

I have mine in a pot in the house (my zone 4a winters are a little too cold to plant it outside). I love its tightly-packed little blosso...Read Morems, and considering how little I've done for it (I potted it, water it occasionally, only once or twice fertilized it, and keep it on a moderately sunny spot) it's growing very beautifully.
I do have one concern: the stem is so long and thin that the blossom is too heavy for it. The blossom appears to be doing fine otherwise, so I'm assuming it's not an issue.

A 24" white mini.