Hens and Chicks vs Tulips

I have a single row of tulip bulbs planted along the south side of our barn. Immediately in front of that row I have "clumps" of smaller tulip-type bulbs planted. Each year, they are hardy and early-blooming.

At the end of last season, I filled in around the plants with hens and chicks to keep the weeds out. Now, this spring, the hens and chicks have filled in greatly. My question: will/are the tulip shoots strong enough to find their way up and through the hens and chicks or will they be snuffed out?

Doug says he's betting on the tulips coming up between the rosettes - let us know